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Finding the Fourth Proportional to 32,423.58, 48,606.20 and 11,642.22

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Solution

The fourth proportional to 32,423.58, 48,606.20 and 11,642.22 is: 17,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,423.58 : 48,606.20 = 11,642.22 : x
  2. Step 2: Convert to fraction form
    32,423.58/48,606.20 = 11,642.22/x
  3. Step 3: Cross multiply
    32,423.58x = 48,606.20 × 11,642.22
  4. Step 4: Simplify right side
    32,423.58x = 565,884,073.76
  5. Step 5: Solve for x
    x = 565,884,073.76/32,423.58
  6. Step 6: Final answer
    x = 17,452.86

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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.