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Finding the Fourth Proportional to 29,932.92, 44,897.76 and 9,156.48

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Solution

The fourth proportional to 29,932.92, 44,897.76 and 9,156.48 is: 13,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,932.92 : 44,897.76 = 9,156.48 : x
  2. Step 2: Convert to fraction form
    29,932.92/44,897.76 = 9,156.48/x
  3. Step 3: Cross multiply
    29,932.92x = 44,897.76 × 9,156.48
  4. Step 4: Simplify right side
    29,932.92x = 411,105,441.48
  5. Step 5: Solve for x
    x = 411,105,441.48/29,932.92
  6. Step 6: Final answer
    x = 13,734.22

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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.