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Finding the Fourth Proportional to 97,697.66, 146,469.92 and 38,577.58

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Solution

The fourth proportional to 97,697.66, 146,469.92 and 38,577.58 is: 57,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,697.66 : 146,469.92 = 38,577.58 : x
  2. Step 2: Convert to fraction form
    97,697.66/146,469.92 = 38,577.58/x
  3. Step 3: Cross multiply
    97,697.66x = 146,469.92 × 38,577.58
  4. Step 4: Simplify right side
    97,697.66x = 5,650,454,786.66
  5. Step 5: Solve for x
    x = 5,650,454,786.66/97,697.66
  6. Step 6: Final answer
    x = 57,836.14

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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.