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Finding the Fourth Proportional to 59,910, 82,675.80 and 33,414

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Solution

The fourth proportional to 59,910, 82,675.80 and 33,414 is: 46,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,910 : 82,675.80 = 33,414 : x
  2. Step 2: Convert to fraction form
    59,910/82,675.80 = 33,414/x
  3. Step 3: Cross multiply
    59,910x = 82,675.80 × 33,414
  4. Step 4: Simplify right side
    59,910x = 2,762,529,181.20
  5. Step 5: Solve for x
    x = 2,762,529,181.20/59,910
  6. Step 6: Final answer
    x = 46,111.32

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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.