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Finding the Fourth Proportional to 100,070.28, 138,095.94 and 54,747.80

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Solution

The fourth proportional to 100,070.28, 138,095.94 and 54,747.80 is: 75,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,070.28 : 138,095.94 = 54,747.80 : x
  2. Step 2: Convert to fraction form
    100,070.28/138,095.94 = 54,747.80/x
  3. Step 3: Cross multiply
    100,070.28x = 138,095.94 × 54,747.80
  4. Step 4: Simplify right side
    100,070.28x = 7,560,448,903.93
  5. Step 5: Solve for x
    x = 7,560,448,903.93/100,070.28
  6. Step 6: Final answer
    x = 75,551.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.