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Finding the Fourth Proportional to 65,251.08, 97,909.02 and 25,836.48

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Solution

The fourth proportional to 65,251.08, 97,909.02 and 25,836.48 is: 38,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251.08 : 97,909.02 = 25,836.48 : x
  2. Step 2: Convert to fraction form
    65,251.08/97,909.02 = 25,836.48/x
  3. Step 3: Cross multiply
    65,251.08x = 97,909.02 × 25,836.48
  4. Step 4: Simplify right side
    65,251.08x = 2,529,624,437.05
  5. Step 5: Solve for x
    x = 2,529,624,437.05/65,251.08
  6. Step 6: Final answer
    x = 38,767.55

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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.