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Finding the Fourth Proportional to 24,379.50, 36,572.46 and 6,849.48

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Solution

The fourth proportional to 24,379.50, 36,572.46 and 6,849.48 is: 10,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.50 : 36,572.46 = 6,849.48 : x
  2. Step 2: Convert to fraction form
    24,379.50/36,572.46 = 6,849.48/x
  3. Step 3: Cross multiply
    24,379.50x = 36,572.46 × 6,849.48
  4. Step 4: Simplify right side
    24,379.50x = 250,502,333.32
  5. Step 5: Solve for x
    x = 250,502,333.32/24,379.50
  6. Step 6: Final answer
    x = 10,275.12

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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.