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Finding the Fourth Proportional to 71,147.70, 106,726.95 and 21,223.89

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Solution

The fourth proportional to 71,147.70, 106,726.95 and 21,223.89 is: 31,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,147.70 : 106,726.95 = 21,223.89 : x
  2. Step 2: Convert to fraction form
    71,147.70/106,726.95 = 21,223.89/x
  3. Step 3: Cross multiply
    71,147.70x = 106,726.95 × 21,223.89
  4. Step 4: Simplify right side
    71,147.70x = 2,265,161,046.84
  5. Step 5: Solve for x
    x = 2,265,161,046.84/71,147.70
  6. Step 6: Final answer
    x = 31,837.45

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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.