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Finding the Fourth Proportional to 47,891.50, 71,848.77 and 15,059.50

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Solution

The fourth proportional to 47,891.50, 71,848.77 and 15,059.50 is: 22,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,891.50 : 71,848.77 = 15,059.50 : x
  2. Step 2: Convert to fraction form
    47,891.50/71,848.77 = 15,059.50/x
  3. Step 3: Cross multiply
    47,891.50x = 71,848.77 × 15,059.50
  4. Step 4: Simplify right side
    47,891.50x = 1,082,006,551.82
  5. Step 5: Solve for x
    x = 1,082,006,551.82/47,891.50
  6. Step 6: Final answer
    x = 22,592.87

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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.