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Finding the Fourth Proportional to 97,117, 145,640.24 and 33,919.40

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Solution

The fourth proportional to 97,117, 145,640.24 and 33,919.40 is: 50,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,117 : 145,640.24 = 33,919.40 : x
  2. Step 2: Convert to fraction form
    97,117/145,640.24 = 33,919.40/x
  3. Step 3: Cross multiply
    97,117x = 145,640.24 × 33,919.40
  4. Step 4: Simplify right side
    97,117x = 4,940,029,556.66
  5. Step 5: Solve for x
    x = 4,940,029,556.66/97,117
  6. Step 6: Final answer
    x = 50,866.78

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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.