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Finding the Fourth Proportional to 71,161.83, 106,707.92 and 41,587.11

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Solution

The fourth proportional to 71,161.83, 106,707.92 and 41,587.11 is: 62,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,161.83 : 106,707.92 = 41,587.11 : x
  2. Step 2: Convert to fraction form
    71,161.83/106,707.92 = 41,587.11/x
  3. Step 3: Cross multiply
    71,161.83x = 106,707.92 × 41,587.11
  4. Step 4: Simplify right side
    71,161.83x = 4,437,673,798.98
  5. Step 5: Solve for x
    x = 4,437,673,798.98/71,161.83
  6. Step 6: Final answer
    x = 62,360.31

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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.