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Finding the Fourth Proportional to 29,145.20, 43,652.03 and 20,419.07

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Solution

The fourth proportional to 29,145.20, 43,652.03 and 20,419.07 is: 30,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,145.20 : 43,652.03 = 20,419.07 : x
  2. Step 2: Convert to fraction form
    29,145.20/43,652.03 = 20,419.07/x
  3. Step 3: Cross multiply
    29,145.20x = 43,652.03 × 20,419.07
  4. Step 4: Simplify right side
    29,145.20x = 891,333,535.86
  5. Step 5: Solve for x
    x = 891,333,535.86/29,145.20
  6. Step 6: Final answer
    x = 30,582.52

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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.