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Finding the Fourth Proportional to 73,289.74, 109,932.78 and 20,698.48

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Solution

The fourth proportional to 73,289.74, 109,932.78 and 20,698.48 is: 31,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,289.74 : 109,932.78 = 20,698.48 : x
  2. Step 2: Convert to fraction form
    73,289.74/109,932.78 = 20,698.48/x
  3. Step 3: Cross multiply
    73,289.74x = 109,932.78 × 20,698.48
  4. Step 4: Simplify right side
    73,289.74x = 2,275,441,448.17
  5. Step 5: Solve for x
    x = 2,275,441,448.17/73,289.74
  6. Step 6: Final answer
    x = 31,047.20

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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.