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Finding the Fourth Proportional to 47,492.92, 71,215.62 and 15,892.12

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Solution

The fourth proportional to 47,492.92, 71,215.62 and 15,892.12 is: 23,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,492.92 : 71,215.62 = 15,892.12 : x
  2. Step 2: Convert to fraction form
    47,492.92/71,215.62 = 15,892.12/x
  3. Step 3: Cross multiply
    47,492.92x = 71,215.62 × 15,892.12
  4. Step 4: Simplify right side
    47,492.92x = 1,131,767,178.91
  5. Step 5: Solve for x
    x = 1,131,767,178.91/47,492.92
  6. Step 6: Final answer
    x = 23,830.23

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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.