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Finding the Fourth Proportional to 57,427.52, 86,146.20 and 15,874.52

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Solution

The fourth proportional to 57,427.52, 86,146.20 and 15,874.52 is: 23,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,427.52 : 86,146.20 = 15,874.52 : x
  2. Step 2: Convert to fraction form
    57,427.52/86,146.20 = 15,874.52/x
  3. Step 3: Cross multiply
    57,427.52x = 86,146.20 × 15,874.52
  4. Step 4: Simplify right side
    57,427.52x = 1,367,529,574.82
  5. Step 5: Solve for x
    x = 1,367,529,574.82/57,427.52
  6. Step 6: Final answer
    x = 23,813.14

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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.