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Finding the Fourth Proportional to 59,781.97, 82,495.91 and 32,919.23

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Solution

The fourth proportional to 59,781.97, 82,495.91 and 32,919.23 is: 45,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,781.97 : 82,495.91 = 32,919.23 : x
  2. Step 2: Convert to fraction form
    59,781.97/82,495.91 = 32,919.23/x
  3. Step 3: Cross multiply
    59,781.97x = 82,495.91 × 32,919.23
  4. Step 4: Simplify right side
    59,781.97x = 2,715,701,835.35
  5. Step 5: Solve for x
    x = 2,715,701,835.35/59,781.97
  6. Step 6: Final answer
    x = 45,426.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.