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Finding the Fourth Proportional to 89,167.84, 133,769.21 and 33,008.41

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Solution

The fourth proportional to 89,167.84, 133,769.21 and 33,008.41 is: 49,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,167.84 : 133,769.21 = 33,008.41 : x
  2. Step 2: Convert to fraction form
    89,167.84/133,769.21 = 33,008.41/x
  3. Step 3: Cross multiply
    89,167.84x = 133,769.21 × 33,008.41
  4. Step 4: Simplify right side
    89,167.84x = 4,415,508,931.23
  5. Step 5: Solve for x
    x = 4,415,508,931.23/89,167.84
  6. Step 6: Final answer
    x = 49,519.08

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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.