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Finding the Fourth Proportional to 71,014.46, 106,587.36 and 35,978.72

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Solution

The fourth proportional to 71,014.46, 106,587.36 and 35,978.72 is: 54,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,014.46 : 106,587.36 = 35,978.72 : x
  2. Step 2: Convert to fraction form
    71,014.46/106,587.36 = 35,978.72/x
  3. Step 3: Cross multiply
    71,014.46x = 106,587.36 × 35,978.72
  4. Step 4: Simplify right side
    71,014.46x = 3,834,876,248.04
  5. Step 5: Solve for x
    x = 3,834,876,248.04/71,014.46
  6. Step 6: Final answer
    x = 54,001.35

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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.