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Finding the Fourth Proportional to 89,148.87, 133,723.10 and 22,588.81

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Solution

The fourth proportional to 89,148.87, 133,723.10 and 22,588.81 is: 33,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,148.87 : 133,723.10 = 22,588.81 : x
  2. Step 2: Convert to fraction form
    89,148.87/133,723.10 = 22,588.81/x
  3. Step 3: Cross multiply
    89,148.87x = 133,723.10 × 22,588.81
  4. Step 4: Simplify right side
    89,148.87x = 3,020,645,420.68
  5. Step 5: Solve for x
    x = 3,020,645,420.68/89,148.87
  6. Step 6: Final answer
    x = 33,883.16

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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.