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Finding the Fourth Proportional to 71,024.70, 106,537.05 and 26,652.90

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Solution

The fourth proportional to 71,024.70, 106,537.05 and 26,652.90 is: 39,979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,024.70 : 106,537.05 = 26,652.90 : x
  2. Step 2: Convert to fraction form
    71,024.70/106,537.05 = 26,652.90/x
  3. Step 3: Cross multiply
    71,024.70x = 106,537.05 × 26,652.90
  4. Step 4: Simplify right side
    71,024.70x = 2,839,521,339.95
  5. Step 5: Solve for x
    x = 2,839,521,339.95/71,024.70
  6. Step 6: Final answer
    x = 39,979.35

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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.