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Finding the Fourth Proportional to 83,597.70, 115,366.62 and 45,871.92

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Solution

The fourth proportional to 83,597.70, 115,366.62 and 45,871.92 is: 63,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,597.70 : 115,366.62 = 45,871.92 : x
  2. Step 2: Convert to fraction form
    83,597.70/115,366.62 = 45,871.92/x
  3. Step 3: Cross multiply
    83,597.70x = 115,366.62 × 45,871.92
  4. Step 4: Simplify right side
    83,597.70x = 5,292,088,363.31
  5. Step 5: Solve for x
    x = 5,292,088,363.31/83,597.70
  6. Step 6: Final answer
    x = 63,304.23

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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.