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Finding the Fourth Proportional to 65,296.77, 97,945.31 and 17,912.55

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Solution

The fourth proportional to 65,296.77, 97,945.31 and 17,912.55 is: 26,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,296.77 : 97,945.31 = 17,912.55 : x
  2. Step 2: Convert to fraction form
    65,296.77/97,945.31 = 17,912.55/x
  3. Step 3: Cross multiply
    65,296.77x = 97,945.31 × 17,912.55
  4. Step 4: Simplify right side
    65,296.77x = 1,754,450,023.02
  5. Step 5: Solve for x
    x = 1,754,450,023.02/65,296.77
  6. Step 6: Final answer
    x = 26,868.86

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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.