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Finding the Fourth Proportional to 47,791.81, 71,633.65 and 24,061.65

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Solution

The fourth proportional to 47,791.81, 71,633.65 and 24,061.65 is: 36,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,791.81 : 71,633.65 = 24,061.65 : x
  2. Step 2: Convert to fraction form
    47,791.81/71,633.65 = 24,061.65/x
  3. Step 3: Cross multiply
    47,791.81x = 71,633.65 × 24,061.65
  4. Step 4: Simplify right side
    47,791.81x = 1,723,623,814.52
  5. Step 5: Solve for x
    x = 1,723,623,814.52/47,791.81
  6. Step 6: Final answer
    x = 36,065.25

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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.