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Finding the Fourth Proportional to 100,109.63, 150,177.66 and 36,974.14

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Solution

The fourth proportional to 100,109.63, 150,177.66 and 36,974.14 is: 55,466.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,109.63 : 150,177.66 = 36,974.14 : x
  2. Step 2: Convert to fraction form
    100,109.63/150,177.66 = 36,974.14/x
  3. Step 3: Cross multiply
    100,109.63x = 150,177.66 × 36,974.14
  4. Step 4: Simplify right side
    100,109.63x = 5,552,689,825.71
  5. Step 5: Solve for x
    x = 5,552,689,825.71/100,109.63
  6. Step 6: Final answer
    x = 55,466.09

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1.5x scale

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.