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Finding the Fourth Proportional to 100,794.30, 151,159.21 and 33,313.74

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Solution

The fourth proportional to 100,794.30, 151,159.21 and 33,313.74 is: 49,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,794.30 : 151,159.21 = 33,313.74 : x
  2. Step 2: Convert to fraction form
    100,794.30/151,159.21 = 33,313.74/x
  3. Step 3: Cross multiply
    100,794.30x = 151,159.21 × 33,313.74
  4. Step 4: Simplify right side
    100,794.30x = 5,035,678,620.55
  5. Step 5: Solve for x
    x = 5,035,678,620.55/100,794.30
  6. Step 6: Final answer
    x = 49,959.95

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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.