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Finding the Fourth Proportional to 71,017.67, 106,526.36 and 41,414.76

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Solution

The fourth proportional to 71,017.67, 106,526.36 and 41,414.76 is: 62,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,017.67 : 106,526.36 = 41,414.76 : x
  2. Step 2: Convert to fraction form
    71,017.67/106,526.36 = 41,414.76/x
  3. Step 3: Cross multiply
    71,017.67x = 106,526.36 × 41,414.76
  4. Step 4: Simplify right side
    71,017.67x = 4,411,763,736.61
  5. Step 5: Solve for x
    x = 4,411,763,736.61/71,017.67
  6. Step 6: Final answer
    x = 62,122.05

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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.