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Finding the Fourth Proportional to 32,324.65, 48,467.13 and 12,580.23

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Solution

The fourth proportional to 32,324.65, 48,467.13 and 12,580.23 is: 18,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324.65 : 48,467.13 = 12,580.23 : x
  2. Step 2: Convert to fraction form
    32,324.65/48,467.13 = 12,580.23/x
  3. Step 3: Cross multiply
    32,324.65x = 48,467.13 × 12,580.23
  4. Step 4: Simplify right side
    32,324.65x = 609,727,642.84
  5. Step 5: Solve for x
    x = 609,727,642.84/32,324.65
  6. Step 6: Final answer
    x = 18,862.62

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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.