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Finding the Fourth Proportional to 101,959.10, 152,781.46 and 54,580.48

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Solution

The fourth proportional to 101,959.10, 152,781.46 and 54,580.48 is: 81,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,959.10 : 152,781.46 = 54,580.48 : x
  2. Step 2: Convert to fraction form
    101,959.10/152,781.46 = 54,580.48/x
  3. Step 3: Cross multiply
    101,959.10x = 152,781.46 × 54,580.48
  4. Step 4: Simplify right side
    101,959.10x = 8,338,884,903.50
  5. Step 5: Solve for x
    x = 8,338,884,903.50/101,959.10
  6. Step 6: Final answer
    x = 81,786.57

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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.