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Finding the Fourth Proportional to 57,924, 86,944.24 and 39,143.84

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Solution

The fourth proportional to 57,924, 86,944.24 and 39,143.84 is: 58,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,924 : 86,944.24 = 39,143.84 : x
  2. Step 2: Convert to fraction form
    57,924/86,944.24 = 39,143.84/x
  3. Step 3: Cross multiply
    57,924x = 86,944.24 × 39,143.84
  4. Step 4: Simplify right side
    57,924x = 3,403,331,419.48
  5. Step 5: Solve for x
    x = 3,403,331,419.48/57,924
  6. Step 6: Final answer
    x = 58,755.12

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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.