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Finding the Fourth Proportional to 82,005.49, 122,858.38 and 59,460.36

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Solution

The fourth proportional to 82,005.49, 122,858.38 and 59,460.36 is: 89,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,005.49 : 122,858.38 = 59,460.36 : x
  2. Step 2: Convert to fraction form
    82,005.49/122,858.38 = 59,460.36/x
  3. Step 3: Cross multiply
    82,005.49x = 122,858.38 × 59,460.36
  4. Step 4: Simplify right side
    82,005.49x = 7,305,203,503.82
  5. Step 5: Solve for x
    x = 7,305,203,503.82/82,005.49
  6. Step 6: Final answer
    x = 89,081.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.