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Finding the Fourth Proportional to 47,304, 65,279.97 and 26,083.98

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Solution

The fourth proportional to 47,304, 65,279.97 and 26,083.98 is: 35,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,304 : 65,279.97 = 26,083.98 : x
  2. Step 2: Convert to fraction form
    47,304/65,279.97 = 26,083.98/x
  3. Step 3: Cross multiply
    47,304x = 65,279.97 × 26,083.98
  4. Step 4: Simplify right side
    47,304x = 1,702,761,431.88
  5. Step 5: Solve for x
    x = 1,702,761,431.88/47,304
  6. Step 6: Final answer
    x = 35,996.14

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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.