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Finding the Fourth Proportional to 65,731.74, 98,607.60 and 24,175.50

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Solution

The fourth proportional to 65,731.74, 98,607.60 and 24,175.50 is: 36,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,731.74 : 98,607.60 = 24,175.50 : x
  2. Step 2: Convert to fraction form
    65,731.74/98,607.60 = 24,175.50/x
  3. Step 3: Cross multiply
    65,731.74x = 98,607.60 × 24,175.50
  4. Step 4: Simplify right side
    65,731.74x = 2,383,888,033.80
  5. Step 5: Solve for x
    x = 2,383,888,033.80/65,731.74
  6. Step 6: Final answer
    x = 36,266.92

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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.