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Finding the Fourth Proportional to 107,100.81, 160,659.30 and 36,023.65

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Solution

The fourth proportional to 107,100.81, 160,659.30 and 36,023.65 is: 54,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,100.81 : 160,659.30 = 36,023.65 : x
  2. Step 2: Convert to fraction form
    107,100.81/160,659.30 = 36,023.65/x
  3. Step 3: Cross multiply
    107,100.81x = 160,659.30 × 36,023.65
  4. Step 4: Simplify right side
    107,100.81x = 5,787,534,149.18
  5. Step 5: Solve for x
    x = 5,787,534,149.18/107,100.81
  6. Step 6: Final answer
    x = 54,038.19

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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.