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Finding the Fourth Proportional to 107,081.42, 160,509.11 and 35,936.62

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Solution

The fourth proportional to 107,081.42, 160,509.11 and 35,936.62 is: 53,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,081.42 : 160,509.11 = 35,936.62 : x
  2. Step 2: Convert to fraction form
    107,081.42/160,509.11 = 35,936.62/x
  3. Step 3: Cross multiply
    107,081.42x = 160,509.11 × 35,936.62
  4. Step 4: Simplify right side
    107,081.42x = 5,768,154,311.65
  5. Step 5: Solve for x
    x = 5,768,154,311.65/107,081.42
  6. Step 6: Final answer
    x = 53,867.00

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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.