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Finding the Fourth Proportional to 76,944.21, 106,159.86 and 74,407.29

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Solution

The fourth proportional to 76,944.21, 106,159.86 and 74,407.29 is: 102,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,944.21 : 106,159.86 = 74,407.29 : x
  2. Step 2: Convert to fraction form
    76,944.21/106,159.86 = 74,407.29/x
  3. Step 3: Cross multiply
    76,944.21x = 106,159.86 × 74,407.29
  4. Step 4: Simplify right side
    76,944.21x = 7,899,067,489.38
  5. Step 5: Solve for x
    x = 7,899,067,489.38/76,944.21
  6. Step 6: Final answer
    x = 102,659.67

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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.