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Finding the Fourth Proportional to 75,908.97, 113,857.95 and 23,315.25

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Solution

The fourth proportional to 75,908.97, 113,857.95 and 23,315.25 is: 34,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,908.97 : 113,857.95 = 23,315.25 : x
  2. Step 2: Convert to fraction form
    75,908.97/113,857.95 = 23,315.25/x
  3. Step 3: Cross multiply
    75,908.97x = 113,857.95 × 23,315.25
  4. Step 4: Simplify right side
    75,908.97x = 2,654,626,568.74
  5. Step 5: Solve for x
    x = 2,654,626,568.74/75,908.97
  6. Step 6: Final answer
    x = 34,971.18

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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.