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Finding the Fourth Proportional to 59,513, 82,127.94 and 33,017

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Solution

The fourth proportional to 59,513, 82,127.94 and 33,017 is: 45,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,513 : 82,127.94 = 33,017 : x
  2. Step 2: Convert to fraction form
    59,513/82,127.94 = 33,017/x
  3. Step 3: Cross multiply
    59,513x = 82,127.94 × 33,017
  4. Step 4: Simplify right side
    59,513x = 2,711,618,194.98
  5. Step 5: Solve for x
    x = 2,711,618,194.98/59,513
  6. Step 6: Final answer
    x = 45,563.46

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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.