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Finding the Fourth Proportional to 83,502.79, 115,181.56 and 54,823.93

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Solution

The fourth proportional to 83,502.79, 115,181.56 and 54,823.93 is: 75,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,502.79 : 115,181.56 = 54,823.93 : x
  2. Step 2: Convert to fraction form
    83,502.79/115,181.56 = 54,823.93/x
  3. Step 3: Cross multiply
    83,502.79x = 115,181.56 × 54,823.93
  4. Step 4: Simplify right side
    83,502.79x = 6,314,704,932.70
  5. Step 5: Solve for x
    x = 6,314,704,932.70/83,502.79
  6. Step 6: Final answer
    x = 75,622.69

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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.