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Finding the Fourth Proportional to 98,246.52, 147,369.78 and 24,374.52

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Solution

The fourth proportional to 98,246.52, 147,369.78 and 24,374.52 is: 36,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,246.52 : 147,369.78 = 24,374.52 : x
  2. Step 2: Convert to fraction form
    98,246.52/147,369.78 = 24,374.52/x
  3. Step 3: Cross multiply
    98,246.52x = 147,369.78 × 24,374.52
  4. Step 4: Simplify right side
    98,246.52x = 3,592,067,650.01
  5. Step 5: Solve for x
    x = 3,592,067,650.01/98,246.52
  6. Step 6: Final answer
    x = 36,561.78

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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.