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Finding the Fourth Proportional to 89,314.56, 133,902.72 and 40,032

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Solution

The fourth proportional to 89,314.56, 133,902.72 and 40,032 is: 60,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,314.56 : 133,902.72 = 40,032 : x
  2. Step 2: Convert to fraction form
    89,314.56/133,902.72 = 40,032/x
  3. Step 3: Cross multiply
    89,314.56x = 133,902.72 × 40,032
  4. Step 4: Simplify right side
    89,314.56x = 5,360,393,687.04
  5. Step 5: Solve for x
    x = 5,360,393,687.04/89,314.56
  6. Step 6: Final answer
    x = 60,017.02

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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.