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Finding the Fourth Proportional to 70,695, 106,042.50 and 21,447

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Solution

The fourth proportional to 70,695, 106,042.50 and 21,447 is: 32,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,695 : 106,042.50 = 21,447 : x
  2. Step 2: Convert to fraction form
    70,695/106,042.50 = 21,447/x
  3. Step 3: Cross multiply
    70,695x = 106,042.50 × 21,447
  4. Step 4: Simplify right side
    70,695x = 2,274,293,497.50
  5. Step 5: Solve for x
    x = 2,274,293,497.50/70,695
  6. Step 6: Final answer
    x = 32,170.50

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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.