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Finding the Fourth Proportional to 49,955.88, 74,931.76 and 27,755.10

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Solution

The fourth proportional to 49,955.88, 74,931.76 and 27,755.10 is: 41,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,955.88 : 74,931.76 = 27,755.10 : x
  2. Step 2: Convert to fraction form
    49,955.88/74,931.76 = 27,755.10/x
  3. Step 3: Cross multiply
    49,955.88x = 74,931.76 × 27,755.10
  4. Step 4: Simplify right side
    49,955.88x = 2,079,737,978.54
  5. Step 5: Solve for x
    x = 2,079,737,978.54/49,955.88
  6. Step 6: Final answer
    x = 41,631.50

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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.