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Finding the Fourth Proportional to 65,275, 90,079.50 and 38,779

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Solution

The fourth proportional to 65,275, 90,079.50 and 38,779 is: 53,515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,275 : 90,079.50 = 38,779 : x
  2. Step 2: Convert to fraction form
    65,275/90,079.50 = 38,779/x
  3. Step 3: Cross multiply
    65,275x = 90,079.50 × 38,779
  4. Step 4: Simplify right side
    65,275x = 3,493,192,930.50
  5. Step 5: Solve for x
    x = 3,493,192,930.50/65,275
  6. Step 6: Final answer
    x = 53,515.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.