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Finding the Fourth Proportional to 32,170.87, 48,256.16 and 8,155.18

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Solution

The fourth proportional to 32,170.87, 48,256.16 and 8,155.18 is: 12,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170.87 : 48,256.16 = 8,155.18 : x
  2. Step 2: Convert to fraction form
    32,170.87/48,256.16 = 8,155.18/x
  3. Step 3: Cross multiply
    32,170.87x = 48,256.16 × 8,155.18
  4. Step 4: Simplify right side
    32,170.87x = 393,537,690.45
  5. Step 5: Solve for x
    x = 393,537,690.45/32,170.87
  6. Step 6: Final answer
    x = 12,232.73

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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.