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Finding the Fourth Proportional to 107,087.86, 160,639.76 and 32,202.01

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Solution

The fourth proportional to 107,087.86, 160,639.76 and 32,202.01 is: 48,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,087.86 : 160,639.76 = 32,202.01 : x
  2. Step 2: Convert to fraction form
    107,087.86/160,639.76 = 32,202.01/x
  3. Step 3: Cross multiply
    107,087.86x = 160,639.76 × 32,202.01
  4. Step 4: Simplify right side
    107,087.86x = 5,172,923,157.92
  5. Step 5: Solve for x
    x = 5,172,923,157.92/107,087.86
  6. Step 6: Final answer
    x = 48,305.41

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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.