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Finding the Fourth Proportional to 89,175.71, 133,756.73 and 32,989.40

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Solution

The fourth proportional to 89,175.71, 133,756.73 and 32,989.40 is: 49,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,175.71 : 133,756.73 = 32,989.40 : x
  2. Step 2: Convert to fraction form
    89,175.71/133,756.73 = 32,989.40/x
  3. Step 3: Cross multiply
    89,175.71x = 133,756.73 × 32,989.40
  4. Step 4: Simplify right side
    89,175.71x = 4,412,554,268.66
  5. Step 5: Solve for x
    x = 4,412,554,268.66/89,175.71
  6. Step 6: Final answer
    x = 49,481.57

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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.