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Finding the Fourth Proportional to 61,257.84, 91,763.70 and 27,932.06

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Solution

The fourth proportional to 61,257.84, 91,763.70 and 27,932.06 is: 41,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,257.84 : 91,763.70 = 27,932.06 : x
  2. Step 2: Convert to fraction form
    61,257.84/91,763.70 = 27,932.06/x
  3. Step 3: Cross multiply
    61,257.84x = 91,763.70 × 27,932.06
  4. Step 4: Simplify right side
    61,257.84x = 2,563,148,715.40
  5. Step 5: Solve for x
    x = 2,563,148,715.40/61,257.84
  6. Step 6: Final answer
    x = 41,841.97

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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.