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Finding the Fourth Proportional to 65,251.83, 97,910.15 and 25,837.23

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Solution

The fourth proportional to 65,251.83, 97,910.15 and 25,837.23 is: 38,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251.83 : 97,910.15 = 25,837.23 : x
  2. Step 2: Convert to fraction form
    65,251.83/97,910.15 = 25,837.23/x
  3. Step 3: Cross multiply
    65,251.83x = 97,910.15 × 25,837.23
  4. Step 4: Simplify right side
    65,251.83x = 2,529,726,935.70
  5. Step 5: Solve for x
    x = 2,529,726,935.70/65,251.83
  6. Step 6: Final answer
    x = 38,768.67

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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.