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Finding the Fourth Proportional to 71,044.98, 106,564.95 and 17,737.26

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Solution

The fourth proportional to 71,044.98, 106,564.95 and 17,737.26 is: 26,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,044.98 : 106,564.95 = 17,737.26 : x
  2. Step 2: Convert to fraction form
    71,044.98/106,564.95 = 17,737.26/x
  3. Step 3: Cross multiply
    71,044.98x = 106,564.95 × 17,737.26
  4. Step 4: Simplify right side
    71,044.98x = 1,890,170,225.04
  5. Step 5: Solve for x
    x = 1,890,170,225.04/71,044.98
  6. Step 6: Final answer
    x = 26,605.26

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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.