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Finding the Fourth Proportional to 42,447.54, 63,698.04 and 23,739.82

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Solution

The fourth proportional to 42,447.54, 63,698.04 and 23,739.82 is: 35,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,447.54 : 63,698.04 = 23,739.82 : x
  2. Step 2: Convert to fraction form
    42,447.54/63,698.04 = 23,739.82/x
  3. Step 3: Cross multiply
    42,447.54x = 63,698.04 × 23,739.82
  4. Step 4: Simplify right side
    42,447.54x = 1,512,180,003.95
  5. Step 5: Solve for x
    x = 1,512,180,003.95/42,447.54
  6. Step 6: Final answer
    x = 35,624.68

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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.