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Finding the Fourth Proportional to 83,074, 114,641.08 and 47,263.92

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Solution

The fourth proportional to 83,074, 114,641.08 and 47,263.92 is: 65,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074 : 114,641.08 = 47,263.92 : x
  2. Step 2: Convert to fraction form
    83,074/114,641.08 = 47,263.92/x
  3. Step 3: Cross multiply
    83,074x = 114,641.08 × 47,263.92
  4. Step 4: Simplify right side
    83,074x = 5,418,386,833.83
  5. Step 5: Solve for x
    x = 5,418,386,833.83/83,074
  6. Step 6: Final answer
    x = 65,223.62

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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.