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Finding the Fourth Proportional to 75,859.30, 113,788.98 and 25,939.86

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Solution

The fourth proportional to 75,859.30, 113,788.98 and 25,939.86 is: 38,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,859.30 : 113,788.98 = 25,939.86 : x
  2. Step 2: Convert to fraction form
    75,859.30/113,788.98 = 25,939.86/x
  3. Step 3: Cross multiply
    75,859.30x = 113,788.98 × 25,939.86
  4. Step 4: Simplify right side
    75,859.30x = 2,951,670,210.74
  5. Step 5: Solve for x
    x = 2,951,670,210.74/75,859.30
  6. Step 6: Final answer
    x = 38,909.80

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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.