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Finding the Fourth Proportional to 55,282.40, 82,934.40 and 21,996.80

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Solution

The fourth proportional to 55,282.40, 82,934.40 and 21,996.80 is: 32,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,282.40 : 82,934.40 = 21,996.80 : x
  2. Step 2: Convert to fraction form
    55,282.40/82,934.40 = 21,996.80/x
  3. Step 3: Cross multiply
    55,282.40x = 82,934.40 × 21,996.80
  4. Step 4: Simplify right side
    55,282.40x = 1,824,291,409.92
  5. Step 5: Solve for x
    x = 1,824,291,409.92/55,282.40
  6. Step 6: Final answer
    x = 32,999.50

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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.