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Finding the Fourth Proportional to 55,303.83, 82,994.09 and 22,020.80

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Solution

The fourth proportional to 55,303.83, 82,994.09 and 22,020.80 is: 33,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,303.83 : 82,994.09 = 22,020.80 : x
  2. Step 2: Convert to fraction form
    55,303.83/82,994.09 = 22,020.80/x
  3. Step 3: Cross multiply
    55,303.83x = 82,994.09 × 22,020.80
  4. Step 4: Simplify right side
    55,303.83x = 1,827,595,732.00
  5. Step 5: Solve for x
    x = 1,827,595,732.00/55,303.83
  6. Step 6: Final answer
    x = 33,046.46

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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.