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Finding the Fourth Proportional to 42,059.60, 63,089.15 and 10,469.50

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Solution

The fourth proportional to 42,059.60, 63,089.15 and 10,469.50 is: 15,704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,059.60 : 63,089.15 = 10,469.50 : x
  2. Step 2: Convert to fraction form
    42,059.60/63,089.15 = 10,469.50/x
  3. Step 3: Cross multiply
    42,059.60x = 63,089.15 × 10,469.50
  4. Step 4: Simplify right side
    42,059.60x = 660,511,645.85
  5. Step 5: Solve for x
    x = 660,511,645.85/42,059.60
  6. Step 6: Final answer
    x = 15,704.18

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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.