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Finding the Fourth Proportional to 50,603.97, 75,902.31 and 15,541.50

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Solution

The fourth proportional to 50,603.97, 75,902.31 and 15,541.50 is: 23,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,603.97 : 75,902.31 = 15,541.50 : x
  2. Step 2: Convert to fraction form
    50,603.97/75,902.31 = 15,541.50/x
  3. Step 3: Cross multiply
    50,603.97x = 75,902.31 × 15,541.50
  4. Step 4: Simplify right side
    50,603.97x = 1,179,635,750.87
  5. Step 5: Solve for x
    x = 1,179,635,750.87/50,603.97
  6. Step 6: Final answer
    x = 23,311.13

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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.