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Finding the Fourth Proportional to 34,687.84, 47,889.84 and 22,772.02

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Solution

The fourth proportional to 34,687.84, 47,889.84 and 22,772.02 is: 31,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,687.84 : 47,889.84 = 22,772.02 : x
  2. Step 2: Convert to fraction form
    34,687.84/47,889.84 = 22,772.02/x
  3. Step 3: Cross multiply
    34,687.84x = 47,889.84 × 22,772.02
  4. Step 4: Simplify right side
    34,687.84x = 1,090,548,394.28
  5. Step 5: Solve for x
    x = 1,090,548,394.28/34,687.84
  6. Step 6: Final answer
    x = 31,438.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.