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Finding the Fourth Proportional to 97,653.40, 146,451.30 and 38,469.40

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Solution

The fourth proportional to 97,653.40, 146,451.30 and 38,469.40 is: 57,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,653.40 : 146,451.30 = 38,469.40 : x
  2. Step 2: Convert to fraction form
    97,653.40/146,451.30 = 38,469.40/x
  3. Step 3: Cross multiply
    97,653.40x = 146,451.30 × 38,469.40
  4. Step 4: Simplify right side
    97,653.40x = 5,633,893,640.22
  5. Step 5: Solve for x
    x = 5,633,893,640.22/97,653.40
  6. Step 6: Final answer
    x = 57,692.75

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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.