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Finding the Fourth Proportional to 51,953.82, 71,691.96 and 29,298.42

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Solution

The fourth proportional to 51,953.82, 71,691.96 and 29,298.42 is: 40,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,953.82 : 71,691.96 = 29,298.42 : x
  2. Step 2: Convert to fraction form
    51,953.82/71,691.96 = 29,298.42/x
  3. Step 3: Cross multiply
    51,953.82x = 71,691.96 × 29,298.42
  4. Step 4: Simplify right side
    51,953.82x = 2,100,461,154.70
  5. Step 5: Solve for x
    x = 2,100,461,154.70/51,953.82
  6. Step 6: Final answer
    x = 40,429.39

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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.