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Finding the Fourth Proportional to 42,037.38, 57,978.76 and 26,931.43

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Solution

The fourth proportional to 42,037.38, 57,978.76 and 26,931.43 is: 37,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,037.38 : 57,978.76 = 26,931.43 : x
  2. Step 2: Convert to fraction form
    42,037.38/57,978.76 = 26,931.43/x
  3. Step 3: Cross multiply
    42,037.38x = 57,978.76 × 26,931.43
  4. Step 4: Simplify right side
    42,037.38x = 1,561,450,781.77
  5. Step 5: Solve for x
    x = 1,561,450,781.77/42,037.38
  6. Step 6: Final answer
    x = 37,144.35

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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.