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Finding the Fourth Proportional to 100,972.01, 151,471.11 and 34,394.33

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Solution

The fourth proportional to 100,972.01, 151,471.11 and 34,394.33 is: 51,595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,972.01 : 151,471.11 = 34,394.33 : x
  2. Step 2: Convert to fraction form
    100,972.01/151,471.11 = 34,394.33/x
  3. Step 3: Cross multiply
    100,972.01x = 151,471.11 × 34,394.33
  4. Step 4: Simplify right side
    100,972.01x = 5,209,747,342.81
  5. Step 5: Solve for x
    x = 5,209,747,342.81/100,972.01
  6. Step 6: Final answer
    x = 51,595.96

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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.