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Finding the Fourth Proportional to 121,816.14, 182,724.06 and 33,082.68

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Solution

The fourth proportional to 121,816.14, 182,724.06 and 33,082.68 is: 49,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,816.14 : 182,724.06 = 33,082.68 : x
  2. Step 2: Convert to fraction form
    121,816.14/182,724.06 = 33,082.68/x
  3. Step 3: Cross multiply
    121,816.14x = 182,724.06 × 33,082.68
  4. Step 4: Simplify right side
    121,816.14x = 6,045,001,605.28
  5. Step 5: Solve for x
    x = 6,045,001,605.28/121,816.14
  6. Step 6: Final answer
    x = 49,623.98

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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.