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Finding the Fourth Proportional to 54,720, 75,513.78 and 29,569.68

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Solution

The fourth proportional to 54,720, 75,513.78 and 29,569.68 is: 40,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,720 : 75,513.78 = 29,569.68 : x
  2. Step 2: Convert to fraction form
    54,720/75,513.78 = 29,569.68/x
  3. Step 3: Cross multiply
    54,720x = 75,513.78 × 29,569.68
  4. Step 4: Simplify right side
    54,720x = 2,232,918,310.19
  5. Step 5: Solve for x
    x = 2,232,918,310.19/54,720
  6. Step 6: Final answer
    x = 40,806.26

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