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Finding the Fourth Proportional to 32,076.92, 48,122.68 and 14,551.76

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Solution

The fourth proportional to 32,076.92, 48,122.68 and 14,551.76 is: 21,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.92 : 48,122.68 = 14,551.76 : x
  2. Step 2: Convert to fraction form
    32,076.92/48,122.68 = 14,551.76/x
  3. Step 3: Cross multiply
    32,076.92x = 48,122.68 × 14,551.76
  4. Step 4: Simplify right side
    32,076.92x = 700,269,689.92
  5. Step 5: Solve for x
    x = 700,269,689.92/32,076.92
  6. Step 6: Final answer
    x = 21,830.95

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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.