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Finding the Fourth Proportional to 27,685.86, 41,543.37 and 21,154.02

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Solution

The fourth proportional to 27,685.86, 41,543.37 and 21,154.02 is: 31,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.86 : 41,543.37 = 21,154.02 : x
  2. Step 2: Convert to fraction form
    27,685.86/41,543.37 = 21,154.02/x
  3. Step 3: Cross multiply
    27,685.86x = 41,543.37 × 21,154.02
  4. Step 4: Simplify right side
    27,685.86x = 878,809,279.85
  5. Step 5: Solve for x
    x = 878,809,279.85/27,685.86
  6. Step 6: Final answer
    x = 31,742.17

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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.