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Finding the Fourth Proportional to 83,596.61, 115,363.01 and 45,871.49

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Solution

The fourth proportional to 83,596.61, 115,363.01 and 45,871.49 is: 63,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,596.61 : 115,363.01 = 45,871.49 : x
  2. Step 2: Convert to fraction form
    83,596.61/115,363.01 = 45,871.49/x
  3. Step 3: Cross multiply
    83,596.61x = 115,363.01 × 45,871.49
  4. Step 4: Simplify right side
    83,596.61x = 5,291,872,930.23
  5. Step 5: Solve for x
    x = 5,291,872,930.23/83,596.61
  6. Step 6: Final answer
    x = 63,302.48

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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.