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Finding the Fourth Proportional to 110,948, 166,422 and 37,076

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Solution

The fourth proportional to 110,948, 166,422 and 37,076 is: 55,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,948 : 166,422 = 37,076 : x
  2. Step 2: Convert to fraction form
    110,948/166,422 = 37,076/x
  3. Step 3: Cross multiply
    110,948x = 166,422 × 37,076
  4. Step 4: Simplify right side
    110,948x = 6,170,262,072
  5. Step 5: Solve for x
    x = 6,170,262,072/110,948
  6. Step 6: Final answer
    x = 55,614

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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.