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Finding the Fourth Proportional to 62,516.32, 86,274.56 and 34,222

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Solution

The fourth proportional to 62,516.32, 86,274.56 and 34,222 is: 47,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,516.32 : 86,274.56 = 34,222 : x
  2. Step 2: Convert to fraction form
    62,516.32/86,274.56 = 34,222/x
  3. Step 3: Cross multiply
    62,516.32x = 86,274.56 × 34,222
  4. Step 4: Simplify right side
    62,516.32x = 2,952,487,992.32
  5. Step 5: Solve for x
    x = 2,952,487,992.32/62,516.32
  6. Step 6: Final answer
    x = 47,227.48

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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.