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Finding the Fourth Proportional to 83,833.25, 115,670.13 and 56,659.93

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Solution

The fourth proportional to 83,833.25, 115,670.13 and 56,659.93 is: 78,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,833.25 : 115,670.13 = 56,659.93 : x
  2. Step 2: Convert to fraction form
    83,833.25/115,670.13 = 56,659.93/x
  3. Step 3: Cross multiply
    83,833.25x = 115,670.13 × 56,659.93
  4. Step 4: Simplify right side
    83,833.25x = 6,553,861,292.56
  5. Step 5: Solve for x
    x = 6,553,861,292.56/83,833.25
  6. Step 6: Final answer
    x = 78,177.35

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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.