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Finding the Fourth Proportional to 51,048.52, 76,461.92 and 24,698

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Solution

The fourth proportional to 51,048.52, 76,461.92 and 24,698 is: 36,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,048.52 : 76,461.92 = 24,698 : x
  2. Step 2: Convert to fraction form
    51,048.52/76,461.92 = 24,698/x
  3. Step 3: Cross multiply
    51,048.52x = 76,461.92 × 24,698
  4. Step 4: Simplify right side
    51,048.52x = 1,888,456,500.16
  5. Step 5: Solve for x
    x = 1,888,456,500.16/51,048.52
  6. Step 6: Final answer
    x = 36,993.36

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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.