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Finding the Fourth Proportional to 110,810.88, 166,192.02 and 31,908

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Solution

The fourth proportional to 110,810.88, 166,192.02 and 31,908 is: 47,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,810.88 : 166,192.02 = 31,908 : x
  2. Step 2: Convert to fraction form
    110,810.88/166,192.02 = 31,908/x
  3. Step 3: Cross multiply
    110,810.88x = 166,192.02 × 31,908
  4. Step 4: Simplify right side
    110,810.88x = 5,302,854,974.16
  5. Step 5: Solve for x
    x = 5,302,854,974.16/110,810.88
  6. Step 6: Final answer
    x = 47,855.00

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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.