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Finding the Fourth Proportional to 32,683.76, 45,103.24 and 17,779.76

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Solution

The fourth proportional to 32,683.76, 45,103.24 and 17,779.76 is: 24,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683.76 : 45,103.24 = 17,779.76 : x
  2. Step 2: Convert to fraction form
    32,683.76/45,103.24 = 17,779.76/x
  3. Step 3: Cross multiply
    32,683.76x = 45,103.24 × 17,779.76
  4. Step 4: Simplify right side
    32,683.76x = 801,924,782.42
  5. Step 5: Solve for x
    x = 801,924,782.42/32,683.76
  6. Step 6: Final answer
    x = 24,535.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.