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Finding the Fourth Proportional to 61,972.56, 85,523.76 and 33,678.27

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Solution

The fourth proportional to 61,972.56, 85,523.76 and 33,678.27 is: 46,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,972.56 : 85,523.76 = 33,678.27 : x
  2. Step 2: Convert to fraction form
    61,972.56/85,523.76 = 33,678.27/x
  3. Step 3: Cross multiply
    61,972.56x = 85,523.76 × 33,678.27
  4. Step 4: Simplify right side
    61,972.56x = 2,880,292,280.70
  5. Step 5: Solve for x
    x = 2,880,292,280.70/61,972.56
  6. Step 6: Final answer
    x = 46,476.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.