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Finding the Fourth Proportional to 40,178.40, 55,428.66 and 28,249.44

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Solution

The fourth proportional to 40,178.40, 55,428.66 and 28,249.44 is: 38,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,178.40 : 55,428.66 = 28,249.44 : x
  2. Step 2: Convert to fraction form
    40,178.40/55,428.66 = 28,249.44/x
  3. Step 3: Cross multiply
    40,178.40x = 55,428.66 × 28,249.44
  4. Step 4: Simplify right side
    40,178.40x = 1,565,828,604.95
  5. Step 5: Solve for x
    x = 1,565,828,604.95/40,178.40
  6. Step 6: Final answer
    x = 38,971.90

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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.