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Finding the Fourth Proportional to 32,425.50, 48,642.30 and 11,649

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Solution

The fourth proportional to 32,425.50, 48,642.30 and 11,649 is: 17,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,425.50 : 48,642.30 = 11,649 : x
  2. Step 2: Convert to fraction form
    32,425.50/48,642.30 = 11,649/x
  3. Step 3: Cross multiply
    32,425.50x = 48,642.30 × 11,649
  4. Step 4: Simplify right side
    32,425.50x = 566,634,152.70
  5. Step 5: Solve for x
    x = 566,634,152.70/32,425.50
  6. Step 6: Final answer
    x = 17,474.95

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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.