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Finding the Fourth Proportional to 52,542.80, 78,814.20 and 24,894.80

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Solution

The fourth proportional to 52,542.80, 78,814.20 and 24,894.80 is: 37,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,542.80 : 78,814.20 = 24,894.80 : x
  2. Step 2: Convert to fraction form
    52,542.80/78,814.20 = 24,894.80/x
  3. Step 3: Cross multiply
    52,542.80x = 78,814.20 × 24,894.80
  4. Step 4: Simplify right side
    52,542.80x = 1,962,063,746.16
  5. Step 5: Solve for x
    x = 1,962,063,746.16/52,542.80
  6. Step 6: Final answer
    x = 37,342.20

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1.5x scale

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.