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Finding the Fourth Proportional to 71,165.32, 106,600.33 and 41,493.16

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Solution

The fourth proportional to 71,165.32, 106,600.33 and 41,493.16 is: 62,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,165.32 : 106,600.33 = 41,493.16 : x
  2. Step 2: Convert to fraction form
    71,165.32/106,600.33 = 41,493.16/x
  3. Step 3: Cross multiply
    71,165.32x = 106,600.33 × 41,493.16
  4. Step 4: Simplify right side
    71,165.32x = 4,423,184,548.74
  5. Step 5: Solve for x
    x = 4,423,184,548.74/71,165.32
  6. Step 6: Final answer
    x = 62,153.65

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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.