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Finding the Fourth Proportional to 83,135.16, 114,724.86 and 47,324.40

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Solution

The fourth proportional to 83,135.16, 114,724.86 and 47,324.40 is: 65,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,135.16 : 114,724.86 = 47,324.40 : x
  2. Step 2: Convert to fraction form
    83,135.16/114,724.86 = 47,324.40/x
  3. Step 3: Cross multiply
    83,135.16x = 114,724.86 × 47,324.40
  4. Step 4: Simplify right side
    83,135.16x = 5,429,285,164.58
  5. Step 5: Solve for x
    x = 5,429,285,164.58/83,135.16
  6. Step 6: Final answer
    x = 65,306.73

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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.