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Finding the Fourth Proportional to 100,691.59, 150,943.06 and 34,085.11

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Solution

The fourth proportional to 100,691.59, 150,943.06 and 34,085.11 is: 51,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,691.59 : 150,943.06 = 34,085.11 : x
  2. Step 2: Convert to fraction form
    100,691.59/150,943.06 = 34,085.11/x
  3. Step 3: Cross multiply
    100,691.59x = 150,943.06 × 34,085.11
  4. Step 4: Simplify right side
    100,691.59x = 5,144,910,803.84
  5. Step 5: Solve for x
    x = 5,144,910,803.84/100,691.59
  6. Step 6: Final answer
    x = 51,095.74

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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.