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Finding the Fourth Proportional to 47,825.04, 71,775 and 33,137.04

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Solution

The fourth proportional to 47,825.04, 71,775 and 33,137.04 is: 49,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,825.04 : 71,775 = 33,137.04 : x
  2. Step 2: Convert to fraction form
    47,825.04/71,775 = 33,137.04/x
  3. Step 3: Cross multiply
    47,825.04x = 71,775 × 33,137.04
  4. Step 4: Simplify right side
    47,825.04x = 2,378,411,046
  5. Step 5: Solve for x
    x = 2,378,411,046/47,825.04
  6. Step 6: Final answer
    x = 49,731.50

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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.