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Finding the Fourth Proportional to 46,764.98, 70,149.90 and 23,383.52

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Solution

The fourth proportional to 46,764.98, 70,149.90 and 23,383.52 is: 35,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,764.98 : 70,149.90 = 23,383.52 : x
  2. Step 2: Convert to fraction form
    46,764.98/70,149.90 = 23,383.52/x
  3. Step 3: Cross multiply
    46,764.98x = 70,149.90 × 23,383.52
  4. Step 4: Simplify right side
    46,764.98x = 1,640,351,589.65
  5. Step 5: Solve for x
    x = 1,640,351,589.65/46,764.98
  6. Step 6: Final answer
    x = 35,076.50

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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.