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Finding the Fourth Proportional to 47,896.32, 71,844 and 22,860.48

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Solution

The fourth proportional to 47,896.32, 71,844 and 22,860.48 is: 34,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,896.32 : 71,844 = 22,860.48 : x
  2. Step 2: Convert to fraction form
    47,896.32/71,844 = 22,860.48/x
  3. Step 3: Cross multiply
    47,896.32x = 71,844 × 22,860.48
  4. Step 4: Simplify right side
    47,896.32x = 1,642,388,325.12
  5. Step 5: Solve for x
    x = 1,642,388,325.12/47,896.32
  6. Step 6: Final answer
    x = 34,290.49

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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.