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Finding the Fourth Proportional to 100,714.59, 150,935.80 and 38,351.07

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Solution

The fourth proportional to 100,714.59, 150,935.80 and 38,351.07 is: 57,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,714.59 : 150,935.80 = 38,351.07 : x
  2. Step 2: Convert to fraction form
    100,714.59/150,935.80 = 38,351.07/x
  3. Step 3: Cross multiply
    100,714.59x = 150,935.80 × 38,351.07
  4. Step 4: Simplify right side
    100,714.59x = 5,788,549,431.31
  5. Step 5: Solve for x
    x = 5,788,549,431.31/100,714.59
  6. Step 6: Final answer
    x = 57,474.79

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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.