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Finding the Fourth Proportional to 32,440.32, 48,679.68 and 13,719.30

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Solution

The fourth proportional to 32,440.32, 48,679.68 and 13,719.30 is: 20,587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,440.32 : 48,679.68 = 13,719.30 : x
  2. Step 2: Convert to fraction form
    32,440.32/48,679.68 = 13,719.30/x
  3. Step 3: Cross multiply
    32,440.32x = 48,679.68 × 13,719.30
  4. Step 4: Simplify right side
    32,440.32x = 667,851,133.82
  5. Step 5: Solve for x
    x = 667,851,133.82/32,440.32
  6. Step 6: Final answer
    x = 20,587.07

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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.