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Finding the Fourth Proportional to 71,606.61, 107,409.96 and 27,223.11

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Solution

The fourth proportional to 71,606.61, 107,409.96 and 27,223.11 is: 40,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,606.61 : 107,409.96 = 27,223.11 : x
  2. Step 2: Convert to fraction form
    71,606.61/107,409.96 = 27,223.11/x
  3. Step 3: Cross multiply
    71,606.61x = 107,409.96 × 27,223.11
  4. Step 4: Simplify right side
    71,606.61x = 2,924,033,156.18
  5. Step 5: Solve for x
    x = 2,924,033,156.18/71,606.61
  6. Step 6: Final answer
    x = 40,834.68

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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.