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Finding the Fourth Proportional to 92,581, 138,878 and 37,177

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Solution

The fourth proportional to 92,581, 138,878 and 37,177 is: 55,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,581 : 138,878 = 37,177 : x
  2. Step 2: Convert to fraction form
    92,581/138,878 = 37,177/x
  3. Step 3: Cross multiply
    92,581x = 138,878 × 37,177
  4. Step 4: Simplify right side
    92,581x = 5,163,067,406
  5. Step 5: Solve for x
    x = 5,163,067,406/92,581
  6. Step 6: Final answer
    x = 55,768.11

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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.