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Finding the Fourth Proportional to 34,087.30, 47,046.21 and 21,984.38

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Solution

The fourth proportional to 34,087.30, 47,046.21 and 21,984.38 is: 30,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,087.30 : 47,046.21 = 21,984.38 : x
  2. Step 2: Convert to fraction form
    34,087.30/47,046.21 = 21,984.38/x
  3. Step 3: Cross multiply
    34,087.30x = 47,046.21 × 21,984.38
  4. Step 4: Simplify right side
    34,087.30x = 1,034,281,522.97
  5. Step 5: Solve for x
    x = 1,034,281,522.97/34,087.30
  6. Step 6: Final answer
    x = 30,342.14

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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.