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Finding the Fourth Proportional to 91,414.27, 137,057.01 and 35,207.29

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Solution

The fourth proportional to 91,414.27, 137,057.01 and 35,207.29 is: 52,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,414.27 : 137,057.01 = 35,207.29 : x
  2. Step 2: Convert to fraction form
    91,414.27/137,057.01 = 35,207.29/x
  3. Step 3: Cross multiply
    91,414.27x = 137,057.01 × 35,207.29
  4. Step 4: Simplify right side
    91,414.27x = 4,825,405,897.60
  5. Step 5: Solve for x
    x = 4,825,405,897.60/91,414.27
  6. Step 6: Final answer
    x = 52,786.13

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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.