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Finding the Fourth Proportional to 55,206.84, 82,822.44 and 20,146.38

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Solution

The fourth proportional to 55,206.84, 82,822.44 and 20,146.38 is: 30,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206.84 : 82,822.44 = 20,146.38 : x
  2. Step 2: Convert to fraction form
    55,206.84/82,822.44 = 20,146.38/x
  3. Step 3: Cross multiply
    55,206.84x = 82,822.44 × 20,146.38
  4. Step 4: Simplify right side
    55,206.84x = 1,668,572,348.77
  5. Step 5: Solve for x
    x = 1,668,572,348.77/55,206.84
  6. Step 6: Final answer
    x = 30,224.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.