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Finding the Fourth Proportional to 32,100.81, 48,147.56 and 12,377.71

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Solution

The fourth proportional to 32,100.81, 48,147.56 and 12,377.71 is: 18,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,100.81 : 48,147.56 = 12,377.71 : x
  2. Step 2: Convert to fraction form
    32,100.81/48,147.56 = 12,377.71/x
  3. Step 3: Cross multiply
    32,100.81x = 48,147.56 × 12,377.71
  4. Step 4: Simplify right side
    32,100.81x = 595,956,649.22
  5. Step 5: Solve for x
    x = 595,956,649.22/32,100.81
  6. Step 6: Final answer
    x = 18,565.16

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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.