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Finding the Fourth Proportional to 67,874.76, 101,645.98 and 47,835.00

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Solution

The fourth proportional to 67,874.76, 101,645.98 and 47,835.00 is: 71,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,874.76 : 101,645.98 = 47,835.00 : x
  2. Step 2: Convert to fraction form
    67,874.76/101,645.98 = 47,835.00/x
  3. Step 3: Cross multiply
    67,874.76x = 101,645.98 × 47,835.00
  4. Step 4: Simplify right side
    67,874.76x = 4,862,234,705.90
  5. Step 5: Solve for x
    x = 4,862,234,705.90/67,874.76
  6. Step 6: Final answer
    x = 71,635.39

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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.