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Finding the Fourth Proportional to 57,127, 85,745.90 and 27,565.60

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Solution

The fourth proportional to 57,127, 85,745.90 and 27,565.60 is: 41,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,127 : 85,745.90 = 27,565.60 : x
  2. Step 2: Convert to fraction form
    57,127/85,745.90 = 27,565.60/x
  3. Step 3: Cross multiply
    57,127x = 85,745.90 × 27,565.60
  4. Step 4: Simplify right side
    57,127x = 2,363,637,181.04
  5. Step 5: Solve for x
    x = 2,363,637,181.04/57,127
  6. Step 6: Final answer
    x = 41,375.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.