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Finding the Fourth Proportional to 71,063.14, 106,478.06 and 24,290.50

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Solution

The fourth proportional to 71,063.14, 106,478.06 and 24,290.50 is: 36,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,063.14 : 106,478.06 = 24,290.50 : x
  2. Step 2: Convert to fraction form
    71,063.14/106,478.06 = 24,290.50/x
  3. Step 3: Cross multiply
    71,063.14x = 106,478.06 × 24,290.50
  4. Step 4: Simplify right side
    71,063.14x = 2,586,404,784.04
  5. Step 5: Solve for x
    x = 2,586,404,784.04/71,063.14
  6. Step 6: Final answer
    x = 36,395.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.