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Finding the Fourth Proportional to 100,494.94, 150,745.62 and 50,547.76

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Solution

The fourth proportional to 100,494.94, 150,745.62 and 50,547.76 is: 75,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,494.94 : 150,745.62 = 50,547.76 : x
  2. Step 2: Convert to fraction form
    100,494.94/150,745.62 = 50,547.76/x
  3. Step 3: Cross multiply
    100,494.94x = 150,745.62 × 50,547.76
  4. Step 4: Simplify right side
    100,494.94x = 7,619,853,420.81
  5. Step 5: Solve for x
    x = 7,619,853,420.81/100,494.94
  6. Step 6: Final answer
    x = 75,823.25

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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.