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Finding the Fourth Proportional to 89,064.81, 133,584.80 and 22,500.81

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Solution

The fourth proportional to 89,064.81, 133,584.80 and 22,500.81 is: 33,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,064.81 : 133,584.80 = 22,500.81 : x
  2. Step 2: Convert to fraction form
    89,064.81/133,584.80 = 22,500.81/x
  3. Step 3: Cross multiply
    89,064.81x = 133,584.80 × 22,500.81
  4. Step 4: Simplify right side
    89,064.81x = 3,005,766,091.18
  5. Step 5: Solve for x
    x = 3,005,766,091.18/89,064.81
  6. Step 6: Final answer
    x = 33,748.08

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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.