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Finding the Fourth Proportional to 32,640,416.80, 48,960,625.20 and 26,967,047.20

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Solution

The fourth proportional to 32,640,416.80, 48,960,625.20 and 26,967,047.20 is: 40,450,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640,416.80 : 48,960,625.20 = 26,967,047.20 : x
  2. Step 2: Convert to fraction form
    32,640,416.80/48,960,625.20 = 26,967,047.20/x
  3. Step 3: Cross multiply
    32,640,416.80x = 48,960,625.20 × 26,967,047.20
  4. Step 4: Simplify right side
    32,640,416.80x = 1,320,323,490,709,909.50
  5. Step 5: Solve for x
    x = 1,320,323,490,709,909.50/32,640,416.80
  6. Step 6: Final answer
    x = 40,450,570.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.