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Finding the Fourth Proportional to 84,154.34, 116,138 and 48,343.44

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Solution

The fourth proportional to 84,154.34, 116,138 and 48,343.44 is: 66,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,154.34 : 116,138 = 48,343.44 : x
  2. Step 2: Convert to fraction form
    84,154.34/116,138 = 48,343.44/x
  3. Step 3: Cross multiply
    84,154.34x = 116,138 × 48,343.44
  4. Step 4: Simplify right side
    84,154.34x = 5,614,510,434.72
  5. Step 5: Solve for x
    x = 5,614,510,434.72/84,154.34
  6. Step 6: Final answer
    x = 66,716.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.