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Finding the Fourth Proportional to 110,698.17, 166,048.22 and 31,812.40

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Solution

The fourth proportional to 110,698.17, 166,048.22 and 31,812.40 is: 47,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,698.17 : 166,048.22 = 31,812.40 : x
  2. Step 2: Convert to fraction form
    110,698.17/166,048.22 = 31,812.40/x
  3. Step 3: Cross multiply
    110,698.17x = 166,048.22 × 31,812.40
  4. Step 4: Simplify right side
    110,698.17x = 5,282,392,393.93
  5. Step 5: Solve for x
    x = 5,282,392,393.93/110,698.17
  6. Step 6: Final answer
    x = 47,718.88

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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.