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Finding the Fourth Proportional to 61,013.52, 84,194.64 and 33,787.80

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Solution

The fourth proportional to 61,013.52, 84,194.64 and 33,787.80 is: 46,624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,013.52 : 84,194.64 = 33,787.80 : x
  2. Step 2: Convert to fraction form
    61,013.52/84,194.64 = 33,787.80/x
  3. Step 3: Cross multiply
    61,013.52x = 84,194.64 × 33,787.80
  4. Step 4: Simplify right side
    61,013.52x = 2,844,751,657.39
  5. Step 5: Solve for x
    x = 2,844,751,657.39/61,013.52
  6. Step 6: Final answer
    x = 46,624.94

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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.