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Finding the Fourth Proportional to 100,693.59, 150,946.05 and 34,087.11

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Solution

The fourth proportional to 100,693.59, 150,946.05 and 34,087.11 is: 51,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,693.59 : 150,946.05 = 34,087.11 : x
  2. Step 2: Convert to fraction form
    100,693.59/150,946.05 = 34,087.11/x
  3. Step 3: Cross multiply
    100,693.59x = 150,946.05 × 34,087.11
  4. Step 4: Simplify right side
    100,693.59x = 5,145,314,610.42
  5. Step 5: Solve for x
    x = 5,145,314,610.42/100,693.59
  6. Step 6: Final answer
    x = 51,098.73

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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.