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Finding the Fourth Proportional to 65,207.30, 97,843.35 and 25,765.70

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Solution

The fourth proportional to 65,207.30, 97,843.35 and 25,765.70 is: 38,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.30 : 97,843.35 = 25,765.70 : x
  2. Step 2: Convert to fraction form
    65,207.30/97,843.35 = 25,765.70/x
  3. Step 3: Cross multiply
    65,207.30x = 97,843.35 × 25,765.70
  4. Step 4: Simplify right side
    65,207.30x = 2,521,002,403.10
  5. Step 5: Solve for x
    x = 2,521,002,403.10/65,207.30
  6. Step 6: Final answer
    x = 38,661.35

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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.