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Finding the Fourth Proportional to 44,647.20, 66,970.80 and 32,983.20

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Solution

The fourth proportional to 44,647.20, 66,970.80 and 32,983.20 is: 49,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,647.20 : 66,970.80 = 32,983.20 : x
  2. Step 2: Convert to fraction form
    44,647.20/66,970.80 = 32,983.20/x
  3. Step 3: Cross multiply
    44,647.20x = 66,970.80 × 32,983.20
  4. Step 4: Simplify right side
    44,647.20x = 2,208,911,290.56
  5. Step 5: Solve for x
    x = 2,208,911,290.56/44,647.20
  6. Step 6: Final answer
    x = 49,474.80

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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.