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Finding the Fourth Proportional to 27,235.78, 40,829.04 and 18,919.70

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Solution

The fourth proportional to 27,235.78, 40,829.04 and 18,919.70 is: 28,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,235.78 : 40,829.04 = 18,919.70 : x
  2. Step 2: Convert to fraction form
    27,235.78/40,829.04 = 18,919.70/x
  3. Step 3: Cross multiply
    27,235.78x = 40,829.04 × 18,919.70
  4. Step 4: Simplify right side
    27,235.78x = 772,473,188.09
  5. Step 5: Solve for x
    x = 772,473,188.09/27,235.78
  6. Step 6: Final answer
    x = 28,362.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.