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Finding the Fourth Proportional to 65,251.64, 97,915.08 and 35,265.95

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Solution

The fourth proportional to 65,251.64, 97,915.08 and 35,265.95 is: 52,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251.64 : 97,915.08 = 35,265.95 : x
  2. Step 2: Convert to fraction form
    65,251.64/97,915.08 = 35,265.95/x
  3. Step 3: Cross multiply
    65,251.64x = 97,915.08 × 35,265.95
  4. Step 4: Simplify right side
    65,251.64x = 3,453,067,825.95
  5. Step 5: Solve for x
    x = 3,453,067,825.95/65,251.64
  6. Step 6: Final answer
    x = 52,919.25

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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.