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Finding the Fourth Proportional to 40,165.50, 55,428.39 and 27,597.54

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Solution

The fourth proportional to 40,165.50, 55,428.39 and 27,597.54 is: 38,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,165.50 : 55,428.39 = 27,597.54 : x
  2. Step 2: Convert to fraction form
    40,165.50/55,428.39 = 27,597.54/x
  3. Step 3: Cross multiply
    40,165.50x = 55,428.39 × 27,597.54
  4. Step 4: Simplify right side
    40,165.50x = 1,529,687,210.16
  5. Step 5: Solve for x
    x = 1,529,687,210.16/40,165.50
  6. Step 6: Final answer
    x = 38,084.61

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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.