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Finding the Fourth Proportional to 75,891.81, 113,836.14 and 25,294.51

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Solution

The fourth proportional to 75,891.81, 113,836.14 and 25,294.51 is: 37,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,891.81 : 113,836.14 = 25,294.51 : x
  2. Step 2: Convert to fraction form
    75,891.81/113,836.14 = 25,294.51/x
  3. Step 3: Cross multiply
    75,891.81x = 113,836.14 × 25,294.51
  4. Step 4: Simplify right side
    75,891.81x = 2,879,429,381.59
  5. Step 5: Solve for x
    x = 2,879,429,381.59/75,891.81
  6. Step 6: Final answer
    x = 37,941.24

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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.