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Finding the Fourth Proportional to 111,012.91, 166,501.12 and 47,816.14

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Solution

The fourth proportional to 111,012.91, 166,501.12 and 47,816.14 is: 71,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,012.91 : 166,501.12 = 47,816.14 : x
  2. Step 2: Convert to fraction form
    111,012.91/166,501.12 = 47,816.14/x
  3. Step 3: Cross multiply
    111,012.91x = 166,501.12 × 47,816.14
  4. Step 4: Simplify right side
    111,012.91x = 7,961,440,031.57
  5. Step 5: Solve for x
    x = 7,961,440,031.57/111,012.91
  6. Step 6: Final answer
    x = 71,716.35

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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.