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Finding the Fourth Proportional to 53,781.16, 74,224.92 and 32,560.80

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Solution

The fourth proportional to 53,781.16, 74,224.92 and 32,560.80 is: 44,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,781.16 : 74,224.92 = 32,560.80 : x
  2. Step 2: Convert to fraction form
    53,781.16/74,224.92 = 32,560.80/x
  3. Step 3: Cross multiply
    53,781.16x = 74,224.92 × 32,560.80
  4. Step 4: Simplify right side
    53,781.16x = 2,416,822,775.14
  5. Step 5: Solve for x
    x = 2,416,822,775.14/53,781.16
  6. Step 6: Final answer
    x = 44,938.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.