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Finding the Fourth Proportional to 56,212.82, 77,609.86 and 36,078.38

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Solution

The fourth proportional to 56,212.82, 77,609.86 and 36,078.38 is: 49,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,212.82 : 77,609.86 = 36,078.38 : x
  2. Step 2: Convert to fraction form
    56,212.82/77,609.86 = 36,078.38/x
  3. Step 3: Cross multiply
    56,212.82x = 77,609.86 × 36,078.38
  4. Step 4: Simplify right side
    56,212.82x = 2,800,038,020.83
  5. Step 5: Solve for x
    x = 2,800,038,020.83/56,212.82
  6. Step 6: Final answer
    x = 49,811.38

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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.