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Finding the Fourth Proportional to 116,996.58, 175,476.24 and 32,747.67

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Solution

The fourth proportional to 116,996.58, 175,476.24 and 32,747.67 is: 49,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,996.58 : 175,476.24 = 32,747.67 : x
  2. Step 2: Convert to fraction form
    116,996.58/175,476.24 = 32,747.67/x
  3. Step 3: Cross multiply
    116,996.58x = 175,476.24 × 32,747.67
  4. Step 4: Simplify right side
    116,996.58x = 5,746,438,000.36
  5. Step 5: Solve for x
    x = 5,746,438,000.36/116,996.58
  6. Step 6: Final answer
    x = 49,116.29

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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.