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Finding the Fourth Proportional to 24,488.24, 36,731.88 and 8,072.24

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Solution

The fourth proportional to 24,488.24, 36,731.88 and 8,072.24 is: 12,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,488.24 : 36,731.88 = 8,072.24 : x
  2. Step 2: Convert to fraction form
    24,488.24/36,731.88 = 8,072.24/x
  3. Step 3: Cross multiply
    24,488.24x = 36,731.88 × 8,072.24
  4. Step 4: Simplify right side
    24,488.24x = 296,508,551.01
  5. Step 5: Solve for x
    x = 296,508,551.01/24,488.24
  6. Step 6: Final answer
    x = 12,108.20

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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.