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Finding the Fourth Proportional to 65,338.67, 97,965.88 and 27,923.15

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Solution

The fourth proportional to 65,338.67, 97,965.88 and 27,923.15 is: 41,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,338.67 : 97,965.88 = 27,923.15 : x
  2. Step 2: Convert to fraction form
    65,338.67/97,965.88 = 27,923.15/x
  3. Step 3: Cross multiply
    65,338.67x = 97,965.88 × 27,923.15
  4. Step 4: Simplify right side
    65,338.67x = 2,735,515,962.12
  5. Step 5: Solve for x
    x = 2,735,515,962.12/65,338.67
  6. Step 6: Final answer
    x = 41,866.72

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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.