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Finding the Fourth Proportional to 52,157.40, 78,268.22 and 20,562.08

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Solution

The fourth proportional to 52,157.40, 78,268.22 and 20,562.08 is: 30,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,157.40 : 78,268.22 = 20,562.08 : x
  2. Step 2: Convert to fraction form
    52,157.40/78,268.22 = 20,562.08/x
  3. Step 3: Cross multiply
    52,157.40x = 78,268.22 × 20,562.08
  4. Step 4: Simplify right side
    52,157.40x = 1,609,357,401.10
  5. Step 5: Solve for x
    x = 1,609,357,401.10/52,157.40
  6. Step 6: Final answer
    x = 30,855.78

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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.