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Finding the Fourth Proportional to 34,279.02, 47,291.13 and 22,338

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Solution

The fourth proportional to 34,279.02, 47,291.13 and 22,338 is: 30,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,279.02 : 47,291.13 = 22,338 : x
  2. Step 2: Convert to fraction form
    34,279.02/47,291.13 = 22,338/x
  3. Step 3: Cross multiply
    34,279.02x = 47,291.13 × 22,338
  4. Step 4: Simplify right side
    34,279.02x = 1,056,389,261.94
  5. Step 5: Solve for x
    x = 1,056,389,261.94/34,279.02
  6. Step 6: Final answer
    x = 30,817.37

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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.