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Finding the Fourth Proportional to 73,209.40, 109,727.70 and 54,719.80

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Solution

The fourth proportional to 73,209.40, 109,727.70 and 54,719.80 is: 82,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,209.40 : 109,727.70 = 54,719.80 : x
  2. Step 2: Convert to fraction form
    73,209.40/109,727.70 = 54,719.80/x
  3. Step 3: Cross multiply
    73,209.40x = 109,727.70 × 54,719.80
  4. Step 4: Simplify right side
    73,209.40x = 6,004,277,798.46
  5. Step 5: Solve for x
    x = 6,004,277,798.46/73,209.40
  6. Step 6: Final answer
    x = 82,015.12

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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.