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Finding the Fourth Proportional to 59,384, 81,954.58 and 33,884.48

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Solution

The fourth proportional to 59,384, 81,954.58 and 33,884.48 is: 46,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,384 : 81,954.58 = 33,884.48 : x
  2. Step 2: Convert to fraction form
    59,384/81,954.58 = 33,884.48/x
  3. Step 3: Cross multiply
    59,384x = 81,954.58 × 33,884.48
  4. Step 4: Simplify right side
    59,384x = 2,776,988,326.92
  5. Step 5: Solve for x
    x = 2,776,988,326.92/59,384
  6. Step 6: Final answer
    x = 46,763.24

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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.