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Finding the Fourth Proportional to 59,704.94, 82,383.43 and 34,206.39

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Solution

The fourth proportional to 59,704.94, 82,383.43 and 34,206.39 is: 47,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,704.94 : 82,383.43 = 34,206.39 : x
  2. Step 2: Convert to fraction form
    59,704.94/82,383.43 = 34,206.39/x
  3. Step 3: Cross multiply
    59,704.94x = 82,383.43 × 34,206.39
  4. Step 4: Simplify right side
    59,704.94x = 2,818,039,565.09
  5. Step 5: Solve for x
    x = 2,818,039,565.09/59,704.94
  6. Step 6: Final answer
    x = 47,199.44

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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.