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Finding the Fourth Proportional to 62,695, 94,042.50 and 21,142

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Solution

The fourth proportional to 62,695, 94,042.50 and 21,142 is: 31,713

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,695 : 94,042.50 = 21,142 : x
  2. Step 2: Convert to fraction form
    62,695/94,042.50 = 21,142/x
  3. Step 3: Cross multiply
    62,695x = 94,042.50 × 21,142
  4. Step 4: Simplify right side
    62,695x = 1,988,246,535
  5. Step 5: Solve for x
    x = 1,988,246,535/62,695
  6. Step 6: Final answer
    x = 31,713

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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.