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Finding the Fourth Proportional to 57,114.14, 85,643.45 and 28,638.86

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Solution

The fourth proportional to 57,114.14, 85,643.45 and 28,638.86 is: 42,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,114.14 : 85,643.45 = 28,638.86 : x
  2. Step 2: Convert to fraction form
    57,114.14/85,643.45 = 28,638.86/x
  3. Step 3: Cross multiply
    57,114.14x = 85,643.45 × 28,638.86
  4. Step 4: Simplify right side
    57,114.14x = 2,452,730,203.06
  5. Step 5: Solve for x
    x = 2,452,730,203.06/57,114.14
  6. Step 6: Final answer
    x = 42,944.36

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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.