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Finding the Fourth Proportional to 68,698.95, 103,029.39 and 24,319.86

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Solution

The fourth proportional to 68,698.95, 103,029.39 and 24,319.86 is: 36,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,698.95 : 103,029.39 = 24,319.86 : x
  2. Step 2: Convert to fraction form
    68,698.95/103,029.39 = 24,319.86/x
  3. Step 3: Cross multiply
    68,698.95x = 103,029.39 × 24,319.86
  4. Step 4: Simplify right side
    68,698.95x = 2,505,660,340.69
  5. Step 5: Solve for x
    x = 2,505,660,340.69/68,698.95
  6. Step 6: Final answer
    x = 36,473.05

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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.