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Finding the Fourth Proportional to 51,498.84, 71,100.52 and 39,538.38

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Solution

The fourth proportional to 51,498.84, 71,100.52 and 39,538.38 is: 54,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,498.84 : 71,100.52 = 39,538.38 : x
  2. Step 2: Convert to fraction form
    51,498.84/71,100.52 = 39,538.38/x
  3. Step 3: Cross multiply
    51,498.84x = 71,100.52 × 39,538.38
  4. Step 4: Simplify right side
    51,498.84x = 2,811,199,377.96
  5. Step 5: Solve for x
    x = 2,811,199,377.96/51,498.84
  6. Step 6: Final answer
    x = 54,587.63

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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.