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Finding the Fourth Proportional to 100,959.26, 151,409.72 and 34,397.91

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Solution

The fourth proportional to 100,959.26, 151,409.72 and 34,397.91 is: 51,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,959.26 : 151,409.72 = 34,397.91 : x
  2. Step 2: Convert to fraction form
    100,959.26/151,409.72 = 34,397.91/x
  3. Step 3: Cross multiply
    100,959.26x = 151,409.72 × 34,397.91
  4. Step 4: Simplify right side
    100,959.26x = 5,208,177,749.70
  5. Step 5: Solve for x
    x = 5,208,177,749.70/100,959.26
  6. Step 6: Final answer
    x = 51,586.93

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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.