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Finding the Fourth Proportional to 100,976.76, 151,465.50 and 30,855.78

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Solution

The fourth proportional to 100,976.76, 151,465.50 and 30,855.78 is: 46,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,976.76 : 151,465.50 = 30,855.78 : x
  2. Step 2: Convert to fraction form
    100,976.76/151,465.50 = 30,855.78/x
  3. Step 3: Cross multiply
    100,976.76x = 151,465.50 × 30,855.78
  4. Step 4: Simplify right side
    100,976.76x = 4,673,586,145.59
  5. Step 5: Solve for x
    x = 4,673,586,145.59/100,976.76
  6. Step 6: Final answer
    x = 46,283.78

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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.