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Finding the Fourth Proportional to 76,068.77, 113,963.22 and 38,655.68

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Solution

The fourth proportional to 76,068.77, 113,963.22 and 38,655.68 is: 57,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,068.77 : 113,963.22 = 38,655.68 : x
  2. Step 2: Convert to fraction form
    76,068.77/113,963.22 = 38,655.68/x
  3. Step 3: Cross multiply
    76,068.77x = 113,963.22 × 38,655.68
  4. Step 4: Simplify right side
    76,068.77x = 4,405,325,194.27
  5. Step 5: Solve for x
    x = 4,405,325,194.27/76,068.77
  6. Step 6: Final answer
    x = 57,912.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.