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Finding the Fourth Proportional to 32,445.24, 48,668.32 and 13,722.92

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Solution

The fourth proportional to 32,445.24, 48,668.32 and 13,722.92 is: 20,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445.24 : 48,668.32 = 13,722.92 : x
  2. Step 2: Convert to fraction form
    32,445.24/48,668.32 = 13,722.92/x
  3. Step 3: Cross multiply
    32,445.24x = 48,668.32 × 13,722.92
  4. Step 4: Simplify right side
    32,445.24x = 667,871,461.89
  5. Step 5: Solve for x
    x = 667,871,461.89/32,445.24
  6. Step 6: Final answer
    x = 20,584.57

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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.