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Finding the Fourth Proportional to 100,825.76, 151,227.12 and 26,959.52

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Solution

The fourth proportional to 100,825.76, 151,227.12 and 26,959.52 is: 40,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,825.76 : 151,227.12 = 26,959.52 : x
  2. Step 2: Convert to fraction form
    100,825.76/151,227.12 = 26,959.52/x
  3. Step 3: Cross multiply
    100,825.76x = 151,227.12 × 26,959.52
  4. Step 4: Simplify right side
    100,825.76x = 4,077,010,566.18
  5. Step 5: Solve for x
    x = 4,077,010,566.18/100,825.76
  6. Step 6: Final answer
    x = 40,436.20

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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.