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Finding the Fourth Proportional to 53,691.14, 74,087.07 and 29,814.57

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Solution

The fourth proportional to 53,691.14, 74,087.07 and 29,814.57 is: 41,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,691.14 : 74,087.07 = 29,814.57 : x
  2. Step 2: Convert to fraction form
    53,691.14/74,087.07 = 29,814.57/x
  3. Step 3: Cross multiply
    53,691.14x = 74,087.07 × 29,814.57
  4. Step 4: Simplify right side
    53,691.14x = 2,208,874,134.61
  5. Step 5: Solve for x
    x = 2,208,874,134.61/53,691.14
  6. Step 6: Final answer
    x = 41,140.38

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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.