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Finding the Fourth Proportional to 71,970.73, 107,742.86 and 53,334.42

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Solution

The fourth proportional to 71,970.73, 107,742.86 and 53,334.42 is: 79,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,970.73 : 107,742.86 = 53,334.42 : x
  2. Step 2: Convert to fraction form
    71,970.73/107,742.86 = 53,334.42/x
  3. Step 3: Cross multiply
    71,970.73x = 107,742.86 × 53,334.42
  4. Step 4: Simplify right side
    71,970.73x = 5,746,402,947.24
  5. Step 5: Solve for x
    x = 5,746,402,947.24/71,970.73
  6. Step 6: Final answer
    x = 79,843.61

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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.