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Finding the Fourth Proportional to 58,902.88, 81,287.80 and 33,410.28

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Solution

The fourth proportional to 58,902.88, 81,287.80 and 33,410.28 is: 46,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,902.88 : 81,287.80 = 33,410.28 : x
  2. Step 2: Convert to fraction form
    58,902.88/81,287.80 = 33,410.28/x
  3. Step 3: Cross multiply
    58,902.88x = 81,287.80 × 33,410.28
  4. Step 4: Simplify right side
    58,902.88x = 2,715,848,158.58
  5. Step 5: Solve for x
    x = 2,715,848,158.58/58,902.88
  6. Step 6: Final answer
    x = 46,107.22

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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.