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Finding the Fourth Proportional to 70,479.28, 105,714.05 and 33,047.66

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Solution

The fourth proportional to 70,479.28, 105,714.05 and 33,047.66 is: 49,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,479.28 : 105,714.05 = 33,047.66 : x
  2. Step 2: Convert to fraction form
    70,479.28/105,714.05 = 33,047.66/x
  3. Step 3: Cross multiply
    70,479.28x = 105,714.05 × 33,047.66
  4. Step 4: Simplify right side
    70,479.28x = 3,493,601,453.05
  5. Step 5: Solve for x
    x = 3,493,601,453.05/70,479.28
  6. Step 6: Final answer
    x = 49,569.20

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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.