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Finding the Fourth Proportional to 32,057.04, 48,081.84 and 8,685.24

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Solution

The fourth proportional to 32,057.04, 48,081.84 and 8,685.24 is: 13,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.04 : 48,081.84 = 8,685.24 : x
  2. Step 2: Convert to fraction form
    32,057.04/48,081.84 = 8,685.24/x
  3. Step 3: Cross multiply
    32,057.04x = 48,081.84 × 8,685.24
  4. Step 4: Simplify right side
    32,057.04x = 417,602,320.04
  5. Step 5: Solve for x
    x = 417,602,320.04/32,057.04
  6. Step 6: Final answer
    x = 13,026.85

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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.