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Finding the Fourth Proportional to 53,132.38, 73,322.68 and 29,259

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Solution

The fourth proportional to 53,132.38, 73,322.68 and 29,259 is: 40,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,132.38 : 73,322.68 = 29,259 : x
  2. Step 2: Convert to fraction form
    53,132.38/73,322.68 = 29,259/x
  3. Step 3: Cross multiply
    53,132.38x = 73,322.68 × 29,259
  4. Step 4: Simplify right side
    53,132.38x = 2,145,348,294.12
  5. Step 5: Solve for x
    x = 2,145,348,294.12/53,132.38
  6. Step 6: Final answer
    x = 40,377.42

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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.