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Finding the Fourth Proportional to 59,761, 82,470.18 and 33,265

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Solution

The fourth proportional to 59,761, 82,470.18 and 33,265 is: 45,905.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,761 : 82,470.18 = 33,265 : x
  2. Step 2: Convert to fraction form
    59,761/82,470.18 = 33,265/x
  3. Step 3: Cross multiply
    59,761x = 82,470.18 × 33,265
  4. Step 4: Simplify right side
    59,761x = 2,743,370,537.70
  5. Step 5: Solve for x
    x = 2,743,370,537.70/59,761
  6. Step 6: Final answer
    x = 45,905.70

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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.