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Finding the Fourth Proportional to 32,005.24, 48,002.10 and 18,842.20

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Solution

The fourth proportional to 32,005.24, 48,002.10 and 18,842.20 is: 28,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.24 : 48,002.10 = 18,842.20 : x
  2. Step 2: Convert to fraction form
    32,005.24/48,002.10 = 18,842.20/x
  3. Step 3: Cross multiply
    32,005.24x = 48,002.10 × 18,842.20
  4. Step 4: Simplify right side
    32,005.24x = 904,465,168.62
  5. Step 5: Solve for x
    x = 904,465,168.62/32,005.24
  6. Step 6: Final answer
    x = 28,259.91

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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.