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Finding the Fourth Proportional to 110,946, 166,419 and 37,074

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Solution

The fourth proportional to 110,946, 166,419 and 37,074 is: 55,611

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,946 : 166,419 = 37,074 : x
  2. Step 2: Convert to fraction form
    110,946/166,419 = 37,074/x
  3. Step 3: Cross multiply
    110,946x = 166,419 × 37,074
  4. Step 4: Simplify right side
    110,946x = 6,169,818,006
  5. Step 5: Solve for x
    x = 6,169,818,006/110,946
  6. Step 6: Final answer
    x = 55,611

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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.