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Finding the Fourth Proportional to 97,638.67, 134,735.01 and 54,610.70

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Solution

The fourth proportional to 97,638.67, 134,735.01 and 54,610.70 is: 75,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,638.67 : 134,735.01 = 54,610.70 : x
  2. Step 2: Convert to fraction form
    97,638.67/134,735.01 = 54,610.70/x
  3. Step 3: Cross multiply
    97,638.67x = 134,735.01 × 54,610.70
  4. Step 4: Simplify right side
    97,638.67x = 7,357,973,342.65
  5. Step 5: Solve for x
    x = 7,357,973,342.65/97,638.67
  6. Step 6: Final answer
    x = 75,359.22

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Why These Related Problems?

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