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Finding the Fourth Proportional to 72,493.84, 108,719.70 and 25,760.08

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Solution

The fourth proportional to 72,493.84, 108,719.70 and 25,760.08 is: 38,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,493.84 : 108,719.70 = 25,760.08 : x
  2. Step 2: Convert to fraction form
    72,493.84/108,719.70 = 25,760.08/x
  3. Step 3: Cross multiply
    72,493.84x = 108,719.70 × 25,760.08
  4. Step 4: Simplify right side
    72,493.84x = 2,800,628,169.58
  5. Step 5: Solve for x
    x = 2,800,628,169.58/72,493.84
  6. Step 6: Final answer
    x = 38,632.64

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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.