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Finding the Fourth Proportional to 70,467.58, 105,642.14 and 33,007.92

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Solution

The fourth proportional to 70,467.58, 105,642.14 and 33,007.92 is: 49,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,467.58 : 105,642.14 = 33,007.92 : x
  2. Step 2: Convert to fraction form
    70,467.58/105,642.14 = 33,007.92/x
  3. Step 3: Cross multiply
    70,467.58x = 105,642.14 × 33,007.92
  4. Step 4: Simplify right side
    70,467.58x = 3,487,027,305.75
  5. Step 5: Solve for x
    x = 3,487,027,305.75/70,467.58
  6. Step 6: Final answer
    x = 49,484.14

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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.