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Finding the Fourth Proportional to 77,279.84, 115,963.62 and 32,901.98

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Solution

The fourth proportional to 77,279.84, 115,963.62 and 32,901.98 is: 49,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,279.84 : 115,963.62 = 32,901.98 : x
  2. Step 2: Convert to fraction form
    77,279.84/115,963.62 = 32,901.98/x
  3. Step 3: Cross multiply
    77,279.84x = 115,963.62 × 32,901.98
  4. Step 4: Simplify right side
    77,279.84x = 3,815,432,705.97
  5. Step 5: Solve for x
    x = 3,815,432,705.97/77,279.84
  6. Step 6: Final answer
    x = 49,371.64

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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.