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Finding the Fourth Proportional to 54,813, 75,642.48 and 29,663.04

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Solution

The fourth proportional to 54,813, 75,642.48 and 29,663.04 is: 40,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,813 : 75,642.48 = 29,663.04 : x
  2. Step 2: Convert to fraction form
    54,813/75,642.48 = 29,663.04/x
  3. Step 3: Cross multiply
    54,813x = 75,642.48 × 29,663.04
  4. Step 4: Simplify right side
    54,813x = 2,243,785,909.94
  5. Step 5: Solve for x
    x = 2,243,785,909.94/54,813
  6. Step 6: Final answer
    x = 40,935.29

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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.