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Finding the Fourth Proportional to 48,909.80, 73,370.82 and 13,849.40

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Solution

The fourth proportional to 48,909.80, 73,370.82 and 13,849.40 is: 20,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,909.80 : 73,370.82 = 13,849.40 : x
  2. Step 2: Convert to fraction form
    48,909.80/73,370.82 = 13,849.40/x
  3. Step 3: Cross multiply
    48,909.80x = 73,370.82 × 13,849.40
  4. Step 4: Simplify right side
    48,909.80x = 1,016,141,834.51
  5. Step 5: Solve for x
    x = 1,016,141,834.51/48,909.80
  6. Step 6: Final answer
    x = 20,775.83

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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.