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Finding the Fourth Proportional to 36,279.14, 54,417.29 and 9,983.16

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Solution

The fourth proportional to 36,279.14, 54,417.29 and 9,983.16 is: 14,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,279.14 : 54,417.29 = 9,983.16 : x
  2. Step 2: Convert to fraction form
    36,279.14/54,417.29 = 9,983.16/x
  3. Step 3: Cross multiply
    36,279.14x = 54,417.29 × 9,983.16
  4. Step 4: Simplify right side
    36,279.14x = 543,256,462.92
  5. Step 5: Solve for x
    x = 543,256,462.92/36,279.14
  6. Step 6: Final answer
    x = 14,974.35

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