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Finding the Fourth Proportional to 83,596.86, 115,363.35 and 45,871.74

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Solution

The fourth proportional to 83,596.86, 115,363.35 and 45,871.74 is: 63,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,596.86 : 115,363.35 = 45,871.74 : x
  2. Step 2: Convert to fraction form
    83,596.86/115,363.35 = 45,871.74/x
  3. Step 3: Cross multiply
    83,596.86x = 115,363.35 × 45,871.74
  4. Step 4: Simplify right side
    83,596.86x = 5,291,917,596.73
  5. Step 5: Solve for x
    x = 5,291,917,596.73/83,596.86
  6. Step 6: Final answer
    x = 63,302.83

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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.