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Finding the Fourth Proportional to 59,917, 82,685.46 and 33,421

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Solution

The fourth proportional to 59,917, 82,685.46 and 33,421 is: 46,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,917 : 82,685.46 = 33,421 : x
  2. Step 2: Convert to fraction form
    59,917/82,685.46 = 33,421/x
  3. Step 3: Cross multiply
    59,917x = 82,685.46 × 33,421
  4. Step 4: Simplify right side
    59,917x = 2,763,430,758.66
  5. Step 5: Solve for x
    x = 2,763,430,758.66/59,917
  6. Step 6: Final answer
    x = 46,120.98

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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.