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Finding the Fourth Proportional to 47,101.53, 65,000.10 and 25,882.17

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Solution

The fourth proportional to 47,101.53, 65,000.10 and 25,882.17 is: 35,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,101.53 : 65,000.10 = 25,882.17 : x
  2. Step 2: Convert to fraction form
    47,101.53/65,000.10 = 25,882.17/x
  3. Step 3: Cross multiply
    47,101.53x = 65,000.10 × 25,882.17
  4. Step 4: Simplify right side
    47,101.53x = 1,682,343,638.22
  5. Step 5: Solve for x
    x = 1,682,343,638.22/47,101.53
  6. Step 6: Final answer
    x = 35,717.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.