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Finding the Fourth Proportional to 47,435, 71,143.36 and 22,127.52

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Solution

The fourth proportional to 47,435, 71,143.36 and 22,127.52 is: 33,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,435 : 71,143.36 = 22,127.52 : x
  2. Step 2: Convert to fraction form
    47,435/71,143.36 = 22,127.52/x
  3. Step 3: Cross multiply
    47,435x = 71,143.36 × 22,127.52
  4. Step 4: Simplify right side
    47,435x = 1,574,226,121.27
  5. Step 5: Solve for x
    x = 1,574,226,121.27/47,435
  6. Step 6: Final answer
    x = 33,187.02

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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.