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Finding the Fourth Proportional to 116,972.70, 175,472.78 and 41,048.06

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Solution

The fourth proportional to 116,972.70, 175,472.78 and 41,048.06 is: 61,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,972.70 : 175,472.78 = 41,048.06 : x
  2. Step 2: Convert to fraction form
    116,972.70/175,472.78 = 41,048.06/x
  3. Step 3: Cross multiply
    116,972.70x = 175,472.78 × 41,048.06
  4. Step 4: Simplify right side
    116,972.70x = 7,202,817,435.25
  5. Step 5: Solve for x
    x = 7,202,817,435.25/116,972.70
  6. Step 6: Final answer
    x = 61,576.91

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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.