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Finding the Fourth Proportional to 135,828.62, 203,696.80 and 47,061.41

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Solution

The fourth proportional to 135,828.62, 203,696.80 and 47,061.41 is: 70,576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,828.62 : 203,696.80 = 47,061.41 : x
  2. Step 2: Convert to fraction form
    135,828.62/203,696.80 = 47,061.41/x
  3. Step 3: Cross multiply
    135,828.62x = 203,696.80 × 47,061.41
  4. Step 4: Simplify right side
    135,828.62x = 9,586,258,620.49
  5. Step 5: Solve for x
    x = 9,586,258,620.49/135,828.62
  6. Step 6: Final answer
    x = 70,576.13

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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.