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Finding the Fourth Proportional to 47,492.64, 71,239.02 and 16,327.89

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Solution

The fourth proportional to 47,492.64, 71,239.02 and 16,327.89 is: 24,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,492.64 : 71,239.02 = 16,327.89 : x
  2. Step 2: Convert to fraction form
    47,492.64/71,239.02 = 16,327.89/x
  3. Step 3: Cross multiply
    47,492.64x = 71,239.02 × 16,327.89
  4. Step 4: Simplify right side
    47,492.64x = 1,163,182,882.27
  5. Step 5: Solve for x
    x = 1,163,182,882.27/47,492.64
  6. Step 6: Final answer
    x = 24,491.86

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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.