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Finding the Fourth Proportional to 40,525.86, 55,951.32 and 27,800.34

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Solution

The fourth proportional to 40,525.86, 55,951.32 and 27,800.34 is: 38,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,525.86 : 55,951.32 = 27,800.34 : x
  2. Step 2: Convert to fraction form
    40,525.86/55,951.32 = 27,800.34/x
  3. Step 3: Cross multiply
    40,525.86x = 55,951.32 × 27,800.34
  4. Step 4: Simplify right side
    40,525.86x = 1,555,465,719.45
  5. Step 5: Solve for x
    x = 1,555,465,719.45/40,525.86
  6. Step 6: Final answer
    x = 38,382.05

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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.