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Finding the Fourth Proportional to 47,665.50, 71,451.77 and 22,698.87

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Solution

The fourth proportional to 47,665.50, 71,451.77 and 22,698.87 is: 34,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,665.50 : 71,451.77 = 22,698.87 : x
  2. Step 2: Convert to fraction form
    47,665.50/71,451.77 = 22,698.87/x
  3. Step 3: Cross multiply
    47,665.50x = 71,451.77 × 22,698.87
  4. Step 4: Simplify right side
    47,665.50x = 1,621,874,325.01
  5. Step 5: Solve for x
    x = 1,621,874,325.01/47,665.50
  6. Step 6: Final answer
    x = 34,026.17

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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.