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Finding the Fourth Proportional to 47,948.07, 71,959.77 and 33,260.34

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Solution

The fourth proportional to 47,948.07, 71,959.77 and 33,260.34 is: 49,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,948.07 : 71,959.77 = 33,260.34 : x
  2. Step 2: Convert to fraction form
    47,948.07/71,959.77 = 33,260.34/x
  3. Step 3: Cross multiply
    47,948.07x = 71,959.77 × 33,260.34
  4. Step 4: Simplify right side
    47,948.07x = 2,393,406,416.52
  5. Step 5: Solve for x
    x = 2,393,406,416.52/47,948.07
  6. Step 6: Final answer
    x = 49,916.64

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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.