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Finding the Fourth Proportional to 59,473.99, 82,066.54 and 33,982

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Solution

The fourth proportional to 59,473.99, 82,066.54 and 33,982 is: 46,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,473.99 : 82,066.54 = 33,982 : x
  2. Step 2: Convert to fraction form
    59,473.99/82,066.54 = 33,982/x
  3. Step 3: Cross multiply
    59,473.99x = 82,066.54 × 33,982
  4. Step 4: Simplify right side
    59,473.99x = 2,788,785,162.28
  5. Step 5: Solve for x
    x = 2,788,785,162.28/59,473.99
  6. Step 6: Final answer
    x = 46,890.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.