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Finding the Fourth Proportional to 64,780.38, 89,419.29 and 37,931.52

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Solution

The fourth proportional to 64,780.38, 89,419.29 and 37,931.52 is: 52,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,780.38 : 89,419.29 = 37,931.52 : x
  2. Step 2: Convert to fraction form
    64,780.38/89,419.29 = 37,931.52/x
  3. Step 3: Cross multiply
    64,780.38x = 89,419.29 × 37,931.52
  4. Step 4: Simplify right side
    64,780.38x = 3,391,809,139.92
  5. Step 5: Solve for x
    x = 3,391,809,139.92/64,780.38
  6. Step 6: Final answer
    x = 52,358.59

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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.