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Finding the Fourth Proportional to 52,835.70, 72,911.24 and 31,613.70

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Solution

The fourth proportional to 52,835.70, 72,911.24 and 31,613.70 is: 43,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,835.70 : 72,911.24 = 31,613.70 : x
  2. Step 2: Convert to fraction form
    52,835.70/72,911.24 = 31,613.70/x
  3. Step 3: Cross multiply
    52,835.70x = 72,911.24 × 31,613.70
  4. Step 4: Simplify right side
    52,835.70x = 2,304,994,067.99
  5. Step 5: Solve for x
    x = 2,304,994,067.99/52,835.70
  6. Step 6: Final answer
    x = 43,625.69

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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.