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Finding the Fourth Proportional to 71,385.44, 107,000.78 and 46,443.24

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Solution

The fourth proportional to 71,385.44, 107,000.78 and 46,443.24 is: 69,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,385.44 : 107,000.78 = 46,443.24 : x
  2. Step 2: Convert to fraction form
    71,385.44/107,000.78 = 46,443.24/x
  3. Step 3: Cross multiply
    71,385.44x = 107,000.78 × 46,443.24
  4. Step 4: Simplify right side
    71,385.44x = 4,969,462,905.73
  5. Step 5: Solve for x
    x = 4,969,462,905.73/71,385.44
  6. Step 6: Final answer
    x = 69,614.52

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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.