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Finding the Fourth Proportional to 70,714.65, 106,106.54 and 33,278.48

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Solution

The fourth proportional to 70,714.65, 106,106.54 and 33,278.48 is: 49,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,714.65 : 106,106.54 = 33,278.48 : x
  2. Step 2: Convert to fraction form
    70,714.65/106,106.54 = 33,278.48/x
  3. Step 3: Cross multiply
    70,714.65x = 106,106.54 × 33,278.48
  4. Step 4: Simplify right side
    70,714.65x = 3,531,063,672.33
  5. Step 5: Solve for x
    x = 3,531,063,672.33/70,714.65
  6. Step 6: Final answer
    x = 49,933.98

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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.