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Finding the Fourth Proportional to 32,180.81, 48,271.22 and 8,807.24

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Solution

The fourth proportional to 32,180.81, 48,271.22 and 8,807.24 is: 13,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,180.81 : 48,271.22 = 8,807.24 : x
  2. Step 2: Convert to fraction form
    32,180.81/48,271.22 = 8,807.24/x
  3. Step 3: Cross multiply
    32,180.81x = 48,271.22 × 8,807.24
  4. Step 4: Simplify right side
    32,180.81x = 425,135,934.24
  5. Step 5: Solve for x
    x = 425,135,934.24/32,180.81
  6. Step 6: Final answer
    x = 13,210.85

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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.