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Finding the Fourth Proportional to 32,427.70, 48,632.84 and 12,432.86

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Solution

The fourth proportional to 32,427.70, 48,632.84 and 12,432.86 is: 18,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427.70 : 48,632.84 = 12,432.86 : x
  2. Step 2: Convert to fraction form
    32,427.70/48,632.84 = 12,432.86/x
  3. Step 3: Cross multiply
    32,427.70x = 48,632.84 × 12,432.86
  4. Step 4: Simplify right side
    32,427.70x = 604,645,291.12
  5. Step 5: Solve for x
    x = 604,645,291.12/32,427.70
  6. Step 6: Final answer
    x = 18,645.95

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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.