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Finding the Fourth Proportional to 74,425.80, 111,648.38 and 24,511

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Solution

The fourth proportional to 74,425.80, 111,648.38 and 24,511 is: 36,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,425.80 : 111,648.38 = 24,511 : x
  2. Step 2: Convert to fraction form
    74,425.80/111,648.38 = 24,511/x
  3. Step 3: Cross multiply
    74,425.80x = 111,648.38 × 24,511
  4. Step 4: Simplify right side
    74,425.80x = 2,736,613,442.18
  5. Step 5: Solve for x
    x = 2,736,613,442.18/74,425.80
  6. Step 6: Final answer
    x = 36,769.69

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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.