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Finding the Fourth Proportional to 57,160.52, 85,743.40 and 27,603.22

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Solution

The fourth proportional to 57,160.52, 85,743.40 and 27,603.22 is: 41,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,160.52 : 85,743.40 = 27,603.22 : x
  2. Step 2: Convert to fraction form
    57,160.52/85,743.40 = 27,603.22/x
  3. Step 3: Cross multiply
    57,160.52x = 85,743.40 × 27,603.22
  4. Step 4: Simplify right side
    57,160.52x = 2,366,793,933.75
  5. Step 5: Solve for x
    x = 2,366,793,933.75/57,160.52
  6. Step 6: Final answer
    x = 41,406.10

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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.