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Finding the Fourth Proportional to 32,264.34, 48,375.78 and 12,521.82

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Solution

The fourth proportional to 32,264.34, 48,375.78 and 12,521.82 is: 18,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,264.34 : 48,375.78 = 12,521.82 : x
  2. Step 2: Convert to fraction form
    32,264.34/48,375.78 = 12,521.82/x
  3. Step 3: Cross multiply
    32,264.34x = 48,375.78 × 12,521.82
  4. Step 4: Simplify right side
    32,264.34x = 605,752,809.52
  5. Step 5: Solve for x
    x = 605,752,809.52/32,264.34
  6. Step 6: Final answer
    x = 18,774.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.