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Finding the Fourth Proportional to 55,232.40, 82,859.40 and 21,946.80

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Solution

The fourth proportional to 55,232.40, 82,859.40 and 21,946.80 is: 32,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,232.40 : 82,859.40 = 21,946.80 : x
  2. Step 2: Convert to fraction form
    55,232.40/82,859.40 = 21,946.80/x
  3. Step 3: Cross multiply
    55,232.40x = 82,859.40 × 21,946.80
  4. Step 4: Simplify right side
    55,232.40x = 1,818,498,679.92
  5. Step 5: Solve for x
    x = 1,818,498,679.92/55,232.40
  6. Step 6: Final answer
    x = 32,924.49

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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.