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Finding the Fourth Proportional to 100,494.97, 150,745.84 and 50,547.83

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Solution

The fourth proportional to 100,494.97, 150,745.84 and 50,547.83 is: 75,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,494.97 : 150,745.84 = 50,547.83 : x
  2. Step 2: Convert to fraction form
    100,494.97/150,745.84 = 50,547.83/x
  3. Step 3: Cross multiply
    100,494.97x = 150,745.84 × 50,547.83
  4. Step 4: Simplify right side
    100,494.97x = 7,619,875,344.02
  5. Step 5: Solve for x
    x = 7,619,875,344.02/100,494.97
  6. Step 6: Final answer
    x = 75,823.45

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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.