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Finding the Fourth Proportional to 32,683.24, 45,102.90 and 17,779.24

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Solution

The fourth proportional to 32,683.24, 45,102.90 and 17,779.24 is: 24,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683.24 : 45,102.90 = 17,779.24 : x
  2. Step 2: Convert to fraction form
    32,683.24/45,102.90 = 17,779.24/x
  3. Step 3: Cross multiply
    32,683.24x = 45,102.90 × 17,779.24
  4. Step 4: Simplify right side
    32,683.24x = 801,895,283.80
  5. Step 5: Solve for x
    x = 801,895,283.80/32,683.24
  6. Step 6: Final answer
    x = 24,535.37

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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.