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Finding the Fourth Proportional to 47,483.10, 71,198.34 and 19,422.84

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Solution

The fourth proportional to 47,483.10, 71,198.34 and 19,422.84 is: 29,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,483.10 : 71,198.34 = 19,422.84 : x
  2. Step 2: Convert to fraction form
    47,483.10/71,198.34 = 19,422.84/x
  3. Step 3: Cross multiply
    47,483.10x = 71,198.34 × 19,422.84
  4. Step 4: Simplify right side
    47,483.10x = 1,382,873,966.09
  5. Step 5: Solve for x
    x = 1,382,873,966.09/47,483.10
  6. Step 6: Final answer
    x = 29,123.50

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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.