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Finding the Fourth Proportional to 29,125.52, 43,688.24 and 8,349

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Solution

The fourth proportional to 29,125.52, 43,688.24 and 8,349 is: 12,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,125.52 : 43,688.24 = 8,349 : x
  2. Step 2: Convert to fraction form
    29,125.52/43,688.24 = 8,349/x
  3. Step 3: Cross multiply
    29,125.52x = 43,688.24 × 8,349
  4. Step 4: Simplify right side
    29,125.52x = 364,753,115.76
  5. Step 5: Solve for x
    x = 364,753,115.76/29,125.52
  6. Step 6: Final answer
    x = 12,523.49

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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.