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Finding the Fourth Proportional to 71,200.30, 106,816.65 and 41,602.90

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Solution

The fourth proportional to 71,200.30, 106,816.65 and 41,602.90 is: 62,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,200.30 : 106,816.65 = 41,602.90 : x
  2. Step 2: Convert to fraction form
    71,200.30/106,816.65 = 41,602.90/x
  3. Step 3: Cross multiply
    71,200.30x = 106,816.65 × 41,602.90
  4. Step 4: Simplify right side
    71,200.30x = 4,443,882,408.29
  5. Step 5: Solve for x
    x = 4,443,882,408.29/71,200.30
  6. Step 6: Final answer
    x = 62,413.82

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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.