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Finding the Fourth Proportional to 47,805.92, 71,592 and 41,274.08

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Solution

The fourth proportional to 47,805.92, 71,592 and 41,274.08 is: 61,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,805.92 : 71,592 = 41,274.08 : x
  2. Step 2: Convert to fraction form
    47,805.92/71,592 = 41,274.08/x
  3. Step 3: Cross multiply
    47,805.92x = 71,592 × 41,274.08
  4. Step 4: Simplify right side
    47,805.92x = 2,954,893,935.36
  5. Step 5: Solve for x
    x = 2,954,893,935.36/47,805.92
  6. Step 6: Final answer
    x = 61,810.21

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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.