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Finding the Fourth Proportional to 71,020.17, 106,530.11 and 41,417.26

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Solution

The fourth proportional to 71,020.17, 106,530.11 and 41,417.26 is: 62,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,020.17 : 106,530.11 = 41,417.26 : x
  2. Step 2: Convert to fraction form
    71,020.17/106,530.11 = 41,417.26/x
  3. Step 3: Cross multiply
    71,020.17x = 106,530.11 × 41,417.26
  4. Step 4: Simplify right side
    71,020.17x = 4,412,185,263.70
  5. Step 5: Solve for x
    x = 4,412,185,263.70/71,020.17
  6. Step 6: Final answer
    x = 62,125.81

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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.