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Finding the Fourth Proportional to 77,549.56, 116,325.06 and 49,867

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Solution

The fourth proportional to 77,549.56, 116,325.06 and 49,867 is: 74,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,549.56 : 116,325.06 = 49,867 : x
  2. Step 2: Convert to fraction form
    77,549.56/116,325.06 = 49,867/x
  3. Step 3: Cross multiply
    77,549.56x = 116,325.06 × 49,867
  4. Step 4: Simplify right side
    77,549.56x = 5,800,781,767.02
  5. Step 5: Solve for x
    x = 5,800,781,767.02/77,549.56
  6. Step 6: Final answer
    x = 74,800.96

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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.