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Finding the Fourth Proportional to 37,472.76, 51,687 and 23,332.32

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Solution

The fourth proportional to 37,472.76, 51,687 and 23,332.32 is: 32,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,472.76 : 51,687 = 23,332.32 : x
  2. Step 2: Convert to fraction form
    37,472.76/51,687 = 23,332.32/x
  3. Step 3: Cross multiply
    37,472.76x = 51,687 × 23,332.32
  4. Step 4: Simplify right side
    37,472.76x = 1,205,977,623.84
  5. Step 5: Solve for x
    x = 1,205,977,623.84/37,472.76
  6. Step 6: Final answer
    x = 32,182.78

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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.