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Finding the Fourth Proportional to 82,574.06, 123,861.09 and 33,291.50

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Solution

The fourth proportional to 82,574.06, 123,861.09 and 33,291.50 is: 49,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,574.06 : 123,861.09 = 33,291.50 : x
  2. Step 2: Convert to fraction form
    82,574.06/123,861.09 = 33,291.50/x
  3. Step 3: Cross multiply
    82,574.06x = 123,861.09 × 33,291.50
  4. Step 4: Simplify right side
    82,574.06x = 4,123,521,477.74
  5. Step 5: Solve for x
    x = 4,123,521,477.74/82,574.06
  6. Step 6: Final answer
    x = 49,937.25

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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.