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Finding the Fourth Proportional to 54,807.40, 82,232.70 and 21,521.80

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Solution

The fourth proportional to 54,807.40, 82,232.70 and 21,521.80 is: 32,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,807.40 : 82,232.70 = 21,521.80 : x
  2. Step 2: Convert to fraction form
    54,807.40/82,232.70 = 21,521.80/x
  3. Step 3: Cross multiply
    54,807.40x = 82,232.70 × 21,521.80
  4. Step 4: Simplify right side
    54,807.40x = 1,769,795,722.86
  5. Step 5: Solve for x
    x = 1,769,795,722.86/54,807.40
  6. Step 6: Final answer
    x = 32,291.18

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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.