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Finding the Fourth Proportional to 83,124.83, 114,718.11 and 47,314.83

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Solution

The fourth proportional to 83,124.83, 114,718.11 and 47,314.83 is: 65,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,124.83 : 114,718.11 = 47,314.83 : x
  2. Step 2: Convert to fraction form
    83,124.83/114,718.11 = 47,314.83/x
  3. Step 3: Cross multiply
    83,124.83x = 114,718.11 × 47,314.83
  4. Step 4: Simplify right side
    83,124.83x = 5,427,867,872.57
  5. Step 5: Solve for x
    x = 5,427,867,872.57/83,124.83
  6. Step 6: Final answer
    x = 65,297.80

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Why These Related Problems?

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