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Finding the Fourth Proportional to 71,298.92, 107,053.51 and 39,770.58

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Solution

The fourth proportional to 71,298.92, 107,053.51 and 39,770.58 is: 59,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,298.92 : 107,053.51 = 39,770.58 : x
  2. Step 2: Convert to fraction form
    71,298.92/107,053.51 = 39,770.58/x
  3. Step 3: Cross multiply
    71,298.92x = 107,053.51 × 39,770.58
  4. Step 4: Simplify right side
    71,298.92x = 4,257,579,958.15
  5. Step 5: Solve for x
    x = 4,257,579,958.15/71,298.92
  6. Step 6: Final answer
    x = 59,714.51

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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.