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Finding the Fourth Proportional to 97,422.20, 146,133.30 and 31,758.20

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Solution

The fourth proportional to 97,422.20, 146,133.30 and 31,758.20 is: 47,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,422.20 : 146,133.30 = 31,758.20 : x
  2. Step 2: Convert to fraction form
    97,422.20/146,133.30 = 31,758.20/x
  3. Step 3: Cross multiply
    97,422.20x = 146,133.30 × 31,758.20
  4. Step 4: Simplify right side
    97,422.20x = 4,640,930,568.06
  5. Step 5: Solve for x
    x = 4,640,930,568.06/97,422.20
  6. Step 6: Final answer
    x = 47,637.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.