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Finding the Fourth Proportional to 133,065.32, 199,631.10 and 39,568.52

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Solution

The fourth proportional to 133,065.32, 199,631.10 and 39,568.52 is: 59,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,065.32 : 199,631.10 = 39,568.52 : x
  2. Step 2: Convert to fraction form
    133,065.32/199,631.10 = 39,568.52/x
  3. Step 3: Cross multiply
    133,065.32x = 199,631.10 × 39,568.52
  4. Step 4: Simplify right side
    133,065.32x = 7,899,107,172.97
  5. Step 5: Solve for x
    x = 7,899,107,172.97/133,065.32
  6. Step 6: Final answer
    x = 59,362.63

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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.