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Finding the Fourth Proportional to 57,145.64, 85,773.74 and 27,584.28

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Solution

The fourth proportional to 57,145.64, 85,773.74 and 27,584.28 is: 41,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.64 : 85,773.74 = 27,584.28 : x
  2. Step 2: Convert to fraction form
    57,145.64/85,773.74 = 27,584.28/x
  3. Step 3: Cross multiply
    57,145.64x = 85,773.74 × 27,584.28
  4. Step 4: Simplify right side
    57,145.64x = 2,366,006,860.81
  5. Step 5: Solve for x
    x = 2,366,006,860.81/57,145.64
  6. Step 6: Final answer
    x = 41,403.10

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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.