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Finding the Fourth Proportional to 75,468.51, 113,290.25 and 40,476.51

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Solution

The fourth proportional to 75,468.51, 113,290.25 and 40,476.51 is: 60,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,468.51 : 113,290.25 = 40,476.51 : x
  2. Step 2: Convert to fraction form
    75,468.51/113,290.25 = 40,476.51/x
  3. Step 3: Cross multiply
    75,468.51x = 113,290.25 × 40,476.51
  4. Step 4: Simplify right side
    75,468.51x = 4,585,593,734.64
  5. Step 5: Solve for x
    x = 4,585,593,734.64/75,468.51
  6. Step 6: Final answer
    x = 60,761.68

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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.