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Finding the Fourth Proportional to 32,050.74, 48,070.56 and 8,671.71

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Solution

The fourth proportional to 32,050.74, 48,070.56 and 8,671.71 is: 13,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.74 : 48,070.56 = 8,671.71 : x
  2. Step 2: Convert to fraction form
    32,050.74/48,070.56 = 8,671.71/x
  3. Step 3: Cross multiply
    32,050.74x = 48,070.56 × 8,671.71
  4. Step 4: Simplify right side
    32,050.74x = 416,853,912.50
  5. Step 5: Solve for x
    x = 416,853,912.50/32,050.74
  6. Step 6: Final answer
    x = 13,006.06

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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.