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Finding the Fourth Proportional to 34,946, 48,226.56 and 20,042

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Solution

The fourth proportional to 34,946, 48,226.56 and 20,042 is: 27,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,946 : 48,226.56 = 20,042 : x
  2. Step 2: Convert to fraction form
    34,946/48,226.56 = 20,042/x
  3. Step 3: Cross multiply
    34,946x = 48,226.56 × 20,042
  4. Step 4: Simplify right side
    34,946x = 966,556,715.52
  5. Step 5: Solve for x
    x = 966,556,715.52/34,946
  6. Step 6: Final answer
    x = 27,658.58

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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.