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Finding the Fourth Proportional to 83,063.14, 114,626.73 and 45,337.30

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Solution

The fourth proportional to 83,063.14, 114,626.73 and 45,337.30 is: 62,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,063.14 : 114,626.73 = 45,337.30 : x
  2. Step 2: Convert to fraction form
    83,063.14/114,626.73 = 45,337.30/x
  3. Step 3: Cross multiply
    83,063.14x = 114,626.73 × 45,337.30
  4. Step 4: Simplify right side
    83,063.14x = 5,196,866,446.03
  5. Step 5: Solve for x
    x = 5,196,866,446.03/83,063.14
  6. Step 6: Final answer
    x = 62,565.25

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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.