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Finding the Fourth Proportional to 37,671.57, 56,508.20 and 9,591.52

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Solution

The fourth proportional to 37,671.57, 56,508.20 and 9,591.52 is: 14,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,671.57 : 56,508.20 = 9,591.52 : x
  2. Step 2: Convert to fraction form
    37,671.57/56,508.20 = 9,591.52/x
  3. Step 3: Cross multiply
    37,671.57x = 56,508.20 × 9,591.52
  4. Step 4: Simplify right side
    37,671.57x = 541,999,530.46
  5. Step 5: Solve for x
    x = 541,999,530.46/37,671.57
  6. Step 6: Final answer
    x = 14,387.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.