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Finding the Fourth Proportional to 83,086.29, 114,672.24 and 52,840.08

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Solution

The fourth proportional to 83,086.29, 114,672.24 and 52,840.08 is: 72,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,086.29 : 114,672.24 = 52,840.08 : x
  2. Step 2: Convert to fraction form
    83,086.29/114,672.24 = 52,840.08/x
  3. Step 3: Cross multiply
    83,086.29x = 114,672.24 × 52,840.08
  4. Step 4: Simplify right side
    83,086.29x = 6,059,290,335.38
  5. Step 5: Solve for x
    x = 6,059,290,335.38/83,086.29
  6. Step 6: Final answer
    x = 72,927.68

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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.