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Finding the Fourth Proportional to 100,547.92, 150,796.96 and 33,986.57

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Solution

The fourth proportional to 100,547.92, 150,796.96 and 33,986.57 is: 50,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,547.92 : 150,796.96 = 33,986.57 : x
  2. Step 2: Convert to fraction form
    100,547.92/150,796.96 = 33,986.57/x
  3. Step 3: Cross multiply
    100,547.92x = 150,796.96 × 33,986.57
  4. Step 4: Simplify right side
    100,547.92x = 5,125,071,436.83
  5. Step 5: Solve for x
    x = 5,125,071,436.83/100,547.92
  6. Step 6: Final answer
    x = 50,971.43

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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.