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Finding the Fourth Proportional to 65,306.56, 97,959.95 and 17,922.30

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Solution

The fourth proportional to 65,306.56, 97,959.95 and 17,922.30 is: 26,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306.56 : 97,959.95 = 17,922.30 : x
  2. Step 2: Convert to fraction form
    65,306.56/97,959.95 = 17,922.30/x
  3. Step 3: Cross multiply
    65,306.56x = 97,959.95 × 17,922.30
  4. Step 4: Simplify right side
    65,306.56x = 1,755,667,611.89
  5. Step 5: Solve for x
    x = 1,755,667,611.89/65,306.56
  6. Step 6: Final answer
    x = 26,883.48

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1.5x scale

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.