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Finding the Fourth Proportional to 71,144.90, 106,772.42 and 26,811.98

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Solution

The fourth proportional to 71,144.90, 106,772.42 and 26,811.98 is: 40,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,144.90 : 106,772.42 = 26,811.98 : x
  2. Step 2: Convert to fraction form
    71,144.90/106,772.42 = 26,811.98/x
  3. Step 3: Cross multiply
    71,144.90x = 106,772.42 × 26,811.98
  4. Step 4: Simplify right side
    71,144.90x = 2,862,779,522.76
  5. Step 5: Solve for x
    x = 2,862,779,522.76/71,144.90
  6. Step 6: Final answer
    x = 40,238.72

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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.