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Finding the Fourth Proportional to 27,543.34, 41,314.65 and 6,767.02

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Solution

The fourth proportional to 27,543.34, 41,314.65 and 6,767.02 is: 10,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543.34 : 41,314.65 = 6,767.02 : x
  2. Step 2: Convert to fraction form
    27,543.34/41,314.65 = 6,767.02/x
  3. Step 3: Cross multiply
    27,543.34x = 41,314.65 × 6,767.02
  4. Step 4: Simplify right side
    27,543.34x = 279,577,062.84
  5. Step 5: Solve for x
    x = 279,577,062.84/27,543.34
  6. Step 6: Final answer
    x = 10,150.44

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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.