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Finding the Fourth Proportional to 49,726.80, 74,591.80 and 18,565.20

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Solution

The fourth proportional to 49,726.80, 74,591.80 and 18,565.20 is: 27,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,726.80 : 74,591.80 = 18,565.20 : x
  2. Step 2: Convert to fraction form
    49,726.80/74,591.80 = 18,565.20/x
  3. Step 3: Cross multiply
    49,726.80x = 74,591.80 × 18,565.20
  4. Step 4: Simplify right side
    49,726.80x = 1,384,811,685.36
  5. Step 5: Solve for x
    x = 1,384,811,685.36/49,726.80
  6. Step 6: Final answer
    x = 27,848.40

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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.