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Finding the Fourth Proportional to 75,632.32, 113,460.78 and 25,716.88

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Solution

The fourth proportional to 75,632.32, 113,460.78 and 25,716.88 is: 38,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,632.32 : 113,460.78 = 25,716.88 : x
  2. Step 2: Convert to fraction form
    75,632.32/113,460.78 = 25,716.88/x
  3. Step 3: Cross multiply
    75,632.32x = 113,460.78 × 25,716.88
  4. Step 4: Simplify right side
    75,632.32x = 2,917,857,263.97
  5. Step 5: Solve for x
    x = 2,917,857,263.97/75,632.32
  6. Step 6: Final answer
    x = 38,579.50

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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.