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Finding the Fourth Proportional to 52,065.50, 71,863.35 and 29,722.46

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Solution

The fourth proportional to 52,065.50, 71,863.35 and 29,722.46 is: 41,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,065.50 : 71,863.35 = 29,722.46 : x
  2. Step 2: Convert to fraction form
    52,065.50/71,863.35 = 29,722.46/x
  3. Step 3: Cross multiply
    52,065.50x = 71,863.35 × 29,722.46
  4. Step 4: Simplify right side
    52,065.50x = 2,135,955,545.84
  5. Step 5: Solve for x
    x = 2,135,955,545.84/52,065.50
  6. Step 6: Final answer
    x = 41,024.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.