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Finding the Fourth Proportional to 101,963.79, 152,961.23 and 52,016.64

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Solution

The fourth proportional to 101,963.79, 152,961.23 and 52,016.64 is: 78,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,963.79 : 152,961.23 = 52,016.64 : x
  2. Step 2: Convert to fraction form
    101,963.79/152,961.23 = 52,016.64/x
  3. Step 3: Cross multiply
    101,963.79x = 152,961.23 × 52,016.64
  4. Step 4: Simplify right side
    101,963.79x = 7,956,528,974.78
  5. Step 5: Solve for x
    x = 7,956,528,974.78/101,963.79
  6. Step 6: Final answer
    x = 78,032.89

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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.