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Finding the Fourth Proportional to 49,298, 68,031.28 and 26,942

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Solution

The fourth proportional to 49,298, 68,031.28 and 26,942 is: 37,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,298 : 68,031.28 = 26,942 : x
  2. Step 2: Convert to fraction form
    49,298/68,031.28 = 26,942/x
  3. Step 3: Cross multiply
    49,298x = 68,031.28 × 26,942
  4. Step 4: Simplify right side
    49,298x = 1,832,898,745.76
  5. Step 5: Solve for x
    x = 1,832,898,745.76/49,298
  6. Step 6: Final answer
    x = 37,179.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.