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Finding the Fourth Proportional to 83,726.76, 125,595.54 and 36,979.50

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Solution

The fourth proportional to 83,726.76, 125,595.54 and 36,979.50 is: 55,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,726.76 : 125,595.54 = 36,979.50 : x
  2. Step 2: Convert to fraction form
    83,726.76/125,595.54 = 36,979.50/x
  3. Step 3: Cross multiply
    83,726.76x = 125,595.54 × 36,979.50
  4. Step 4: Simplify right side
    83,726.76x = 4,644,460,271.43
  5. Step 5: Solve for x
    x = 4,644,460,271.43/83,726.76
  6. Step 6: Final answer
    x = 55,471.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.