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Finding the Fourth Proportional to 51,295.92, 76,978.24 and 18,016.10

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Solution

The fourth proportional to 51,295.92, 76,978.24 and 18,016.10 is: 27,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,295.92 : 76,978.24 = 18,016.10 : x
  2. Step 2: Convert to fraction form
    51,295.92/76,978.24 = 18,016.10/x
  3. Step 3: Cross multiply
    51,295.92x = 76,978.24 × 18,016.10
  4. Step 4: Simplify right side
    51,295.92x = 1,386,847,669.66
  5. Step 5: Solve for x
    x = 1,386,847,669.66/51,295.92
  6. Step 6: Final answer
    x = 27,036.22

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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.