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Finding the Fourth Proportional to 83,251.22, 114,924.14 and 53,077

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Solution

The fourth proportional to 83,251.22, 114,924.14 and 53,077 is: 73,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,251.22 : 114,924.14 = 53,077 : x
  2. Step 2: Convert to fraction form
    83,251.22/114,924.14 = 53,077/x
  3. Step 3: Cross multiply
    83,251.22x = 114,924.14 × 53,077
  4. Step 4: Simplify right side
    83,251.22x = 6,099,828,578.78
  5. Step 5: Solve for x
    x = 6,099,828,578.78/83,251.22
  6. Step 6: Final answer
    x = 73,270.14

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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.