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Finding the Fourth Proportional to 52,321.81, 72,202.59 and 29,662.90

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Solution

The fourth proportional to 52,321.81, 72,202.59 and 29,662.90 is: 40,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,321.81 : 72,202.59 = 29,662.90 : x
  2. Step 2: Convert to fraction form
    52,321.81/72,202.59 = 29,662.90/x
  3. Step 3: Cross multiply
    52,321.81x = 72,202.59 × 29,662.90
  4. Step 4: Simplify right side
    52,321.81x = 2,141,738,206.91
  5. Step 5: Solve for x
    x = 2,141,738,206.91/52,321.81
  6. Step 6: Final answer
    x = 40,933.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.