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Finding the Fourth Proportional to 107,093.97, 160,663.41 and 32,219.58

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Solution

The fourth proportional to 107,093.97, 160,663.41 and 32,219.58 is: 48,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,093.97 : 160,663.41 = 32,219.58 : x
  2. Step 2: Convert to fraction form
    107,093.97/160,663.41 = 32,219.58/x
  3. Step 3: Cross multiply
    107,093.97x = 160,663.41 × 32,219.58
  4. Step 4: Simplify right side
    107,093.97x = 5,176,507,591.57
  5. Step 5: Solve for x
    x = 5,176,507,591.57/107,093.97
  6. Step 6: Final answer
    x = 48,336.13

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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.