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Finding the Fourth Proportional to 101,975.01, 152,946.69 and 52,091.97

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Solution

The fourth proportional to 101,975.01, 152,946.69 and 52,091.97 is: 78,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,975.01 : 152,946.69 = 52,091.97 : x
  2. Step 2: Convert to fraction form
    101,975.01/152,946.69 = 52,091.97/x
  3. Step 3: Cross multiply
    101,975.01x = 152,946.69 × 52,091.97
  4. Step 4: Simplify right side
    101,975.01x = 7,967,294,387.08
  5. Step 5: Solve for x
    x = 7,967,294,387.08/101,975.01
  6. Step 6: Final answer
    x = 78,129.87

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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.