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Finding the Fourth Proportional to 34,013.64, 50,763.23 and 33,127.91

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Solution

The fourth proportional to 34,013.64, 50,763.23 and 33,127.91 is: 49,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,013.64 : 50,763.23 = 33,127.91 : x
  2. Step 2: Convert to fraction form
    34,013.64/50,763.23 = 33,127.91/x
  3. Step 3: Cross multiply
    34,013.64x = 50,763.23 × 33,127.91
  4. Step 4: Simplify right side
    34,013.64x = 1,681,679,543.75
  5. Step 5: Solve for x
    x = 1,681,679,543.75/34,013.64
  6. Step 6: Final answer
    x = 49,441.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.