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Finding the Fourth Proportional to 75,382, 113,124.84 and 26,134

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Solution

The fourth proportional to 75,382, 113,124.84 and 26,134 is: 39,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,382 : 113,124.84 = 26,134 : x
  2. Step 2: Convert to fraction form
    75,382/113,124.84 = 26,134/x
  3. Step 3: Cross multiply
    75,382x = 113,124.84 × 26,134
  4. Step 4: Simplify right side
    75,382x = 2,956,404,568.56
  5. Step 5: Solve for x
    x = 2,956,404,568.56/75,382
  6. Step 6: Final answer
    x = 39,218.97

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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.