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Finding the Fourth Proportional to 75,651.84, 113,482.62 and 25,718.04

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Solution

The fourth proportional to 75,651.84, 113,482.62 and 25,718.04 is: 38,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,651.84 : 113,482.62 = 25,718.04 : x
  2. Step 2: Convert to fraction form
    75,651.84/113,482.62 = 25,718.04/x
  3. Step 3: Cross multiply
    75,651.84x = 113,482.62 × 25,718.04
  4. Step 4: Simplify right side
    75,651.84x = 2,918,550,560.46
  5. Step 5: Solve for x
    x = 2,918,550,560.46/75,651.84
  6. Step 6: Final answer
    x = 38,578.71

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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.