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Finding the Fourth Proportional to 32,131.65, 48,199.38 and 12,410.31

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Solution

The fourth proportional to 32,131.65, 48,199.38 and 12,410.31 is: 18,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,131.65 : 48,199.38 = 12,410.31 : x
  2. Step 2: Convert to fraction form
    32,131.65/48,199.38 = 12,410.31/x
  3. Step 3: Cross multiply
    32,131.65x = 48,199.38 × 12,410.31
  4. Step 4: Simplify right side
    32,131.65x = 598,169,247.61
  5. Step 5: Solve for x
    x = 598,169,247.61/32,131.65
  6. Step 6: Final answer
    x = 18,616.20

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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.