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Finding the Fourth Proportional to 61,967.54, 92,945.61 and 20,414.54

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Solution

The fourth proportional to 61,967.54, 92,945.61 and 20,414.54 is: 30,619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,967.54 : 92,945.61 = 20,414.54 : x
  2. Step 2: Convert to fraction form
    61,967.54/92,945.61 = 20,414.54/x
  3. Step 3: Cross multiply
    61,967.54x = 92,945.61 × 20,414.54
  4. Step 4: Simplify right side
    61,967.54x = 1,897,441,873.17
  5. Step 5: Solve for x
    x = 1,897,441,873.17/61,967.54
  6. Step 6: Final answer
    x = 30,619.93

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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.