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Finding the Fourth Proportional to 32,151.96, 48,248 and 14,382.60

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Solution

The fourth proportional to 32,151.96, 48,248 and 14,382.60 is: 21,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.96 : 48,248 = 14,382.60 : x
  2. Step 2: Convert to fraction form
    32,151.96/48,248 = 14,382.60/x
  3. Step 3: Cross multiply
    32,151.96x = 48,248 × 14,382.60
  4. Step 4: Simplify right side
    32,151.96x = 693,931,684.80
  5. Step 5: Solve for x
    x = 693,931,684.80/32,151.96
  6. Step 6: Final answer
    x = 21,582.87

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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.