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Finding the Fourth Proportional to 83,148.53, 114,758.98 and 47,333.57

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Solution

The fourth proportional to 83,148.53, 114,758.98 and 47,333.57 is: 65,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,148.53 : 114,758.98 = 47,333.57 : x
  2. Step 2: Convert to fraction form
    83,148.53/114,758.98 = 47,333.57/x
  3. Step 3: Cross multiply
    83,148.53x = 114,758.98 × 47,333.57
  4. Step 4: Simplify right side
    83,148.53x = 5,431,951,520.83
  5. Step 5: Solve for x
    x = 5,431,951,520.83/83,148.53
  6. Step 6: Final answer
    x = 65,328.30

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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.