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Finding the Fourth Proportional to 62,814, 86,678.20 and 35,950.36

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Solution

The fourth proportional to 62,814, 86,678.20 and 35,950.36 is: 49,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,814 : 86,678.20 = 35,950.36 : x
  2. Step 2: Convert to fraction form
    62,814/86,678.20 = 35,950.36/x
  3. Step 3: Cross multiply
    62,814x = 86,678.20 × 35,950.36
  4. Step 4: Simplify right side
    62,814x = 3,116,112,494.15
  5. Step 5: Solve for x
    x = 3,116,112,494.15/62,814
  6. Step 6: Final answer
    x = 49,608.57

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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.