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Finding the Fourth Proportional to 34,942, 48,221.04 and 20,038

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Solution

The fourth proportional to 34,942, 48,221.04 and 20,038 is: 27,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,942 : 48,221.04 = 20,038 : x
  2. Step 2: Convert to fraction form
    34,942/48,221.04 = 20,038/x
  3. Step 3: Cross multiply
    34,942x = 48,221.04 × 20,038
  4. Step 4: Simplify right side
    34,942x = 966,253,199.52
  5. Step 5: Solve for x
    x = 966,253,199.52/34,942
  6. Step 6: Final answer
    x = 27,653.06

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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.