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Finding the Fourth Proportional to 100,547.72, 150,822.03 and 33,988.20

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Solution

The fourth proportional to 100,547.72, 150,822.03 and 33,988.20 is: 50,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,547.72 : 150,822.03 = 33,988.20 : x
  2. Step 2: Convert to fraction form
    100,547.72/150,822.03 = 33,988.20/x
  3. Step 3: Cross multiply
    100,547.72x = 150,822.03 × 33,988.20
  4. Step 4: Simplify right side
    100,547.72x = 5,126,169,320.05
  5. Step 5: Solve for x
    x = 5,126,169,320.05/100,547.72
  6. Step 6: Final answer
    x = 50,982.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.