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Finding the Fourth Proportional to 87,735, 131,602.50 and 22,071

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Solution

The fourth proportional to 87,735, 131,602.50 and 22,071 is: 33,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,735 : 131,602.50 = 22,071 : x
  2. Step 2: Convert to fraction form
    87,735/131,602.50 = 22,071/x
  3. Step 3: Cross multiply
    87,735x = 131,602.50 × 22,071
  4. Step 4: Simplify right side
    87,735x = 2,904,598,777.50
  5. Step 5: Solve for x
    x = 2,904,598,777.50/87,735
  6. Step 6: Final answer
    x = 33,106.50

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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.