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Finding the Fourth Proportional to 57,114.80, 85,633.80 and 30,465.20

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Solution

The fourth proportional to 57,114.80, 85,633.80 and 30,465.20 is: 45,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,114.80 : 85,633.80 = 30,465.20 : x
  2. Step 2: Convert to fraction form
    57,114.80/85,633.80 = 30,465.20/x
  3. Step 3: Cross multiply
    57,114.80x = 85,633.80 × 30,465.20
  4. Step 4: Simplify right side
    57,114.80x = 2,608,850,843.76
  5. Step 5: Solve for x
    x = 2,608,850,843.76/57,114.80
  6. Step 6: Final answer
    x = 45,677.32

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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.