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Finding the Fourth Proportional to 76,368.82, 114,516.24 and 44,789.22

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Solution

The fourth proportional to 76,368.82, 114,516.24 and 44,789.22 is: 67,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,368.82 : 114,516.24 = 44,789.22 : x
  2. Step 2: Convert to fraction form
    76,368.82/114,516.24 = 44,789.22/x
  3. Step 3: Cross multiply
    76,368.82x = 114,516.24 × 44,789.22
  4. Step 4: Simplify right side
    76,368.82x = 5,129,093,066.93
  5. Step 5: Solve for x
    x = 5,129,093,066.93/76,368.82
  6. Step 6: Final answer
    x = 67,162.14

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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.