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Finding the Fourth Proportional to 107,265.59, 160,924.39 and 32,381.26

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Solution

The fourth proportional to 107,265.59, 160,924.39 and 32,381.26 is: 48,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,265.59 : 160,924.39 = 32,381.26 : x
  2. Step 2: Convert to fraction form
    107,265.59/160,924.39 = 32,381.26/x
  3. Step 3: Cross multiply
    107,265.59x = 160,924.39 × 32,381.26
  4. Step 4: Simplify right side
    107,265.59x = 5,210,934,512.93
  5. Step 5: Solve for x
    x = 5,210,934,512.93/107,265.59
  6. Step 6: Final answer
    x = 48,579.74

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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.