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Finding the Fourth Proportional to 57,403.12, 86,104.56 and 15,850

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Solution

The fourth proportional to 57,403.12, 86,104.56 and 15,850 is: 23,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,403.12 : 86,104.56 = 15,850 : x
  2. Step 2: Convert to fraction form
    57,403.12/86,104.56 = 15,850/x
  3. Step 3: Cross multiply
    57,403.12x = 86,104.56 × 15,850
  4. Step 4: Simplify right side
    57,403.12x = 1,364,757,276
  5. Step 5: Solve for x
    x = 1,364,757,276/57,403.12
  6. Step 6: Final answer
    x = 23,774.97

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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.