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Finding the Fourth Proportional to 51,197.92, 76,807.04 and 17,927.52

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Solution

The fourth proportional to 51,197.92, 76,807.04 and 17,927.52 is: 26,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,197.92 : 76,807.04 = 17,927.52 : x
  2. Step 2: Convert to fraction form
    51,197.92/76,807.04 = 17,927.52/x
  3. Step 3: Cross multiply
    51,197.92x = 76,807.04 × 17,927.52
  4. Step 4: Simplify right side
    51,197.92x = 1,376,959,745.74
  5. Step 5: Solve for x
    x = 1,376,959,745.74/51,197.92
  6. Step 6: Final answer
    x = 26,894.84

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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.