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Finding the Fourth Proportional to 35,279.98, 52,914.49 and 10,314.16

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Solution

The fourth proportional to 35,279.98, 52,914.49 and 10,314.16 is: 15,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,279.98 : 52,914.49 = 10,314.16 : x
  2. Step 2: Convert to fraction form
    35,279.98/52,914.49 = 10,314.16/x
  3. Step 3: Cross multiply
    35,279.98x = 52,914.49 × 10,314.16
  4. Step 4: Simplify right side
    35,279.98x = 545,768,251.61
  5. Step 5: Solve for x
    x = 545,768,251.61/35,279.98
  6. Step 6: Final answer
    x = 15,469.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.