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Finding the Fourth Proportional to 75,820.57, 113,751.02 and 25,900.59

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Solution

The fourth proportional to 75,820.57, 113,751.02 and 25,900.59 is: 38,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,820.57 : 113,751.02 = 25,900.59 : x
  2. Step 2: Convert to fraction form
    75,820.57/113,751.02 = 25,900.59/x
  3. Step 3: Cross multiply
    75,820.57x = 113,751.02 × 25,900.59
  4. Step 4: Simplify right side
    75,820.57x = 2,946,218,531.10
  5. Step 5: Solve for x
    x = 2,946,218,531.10/75,820.57
  6. Step 6: Final answer
    x = 38,857.77

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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.