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Finding the Fourth Proportional to 55,340.62, 83,010.84 and 20,282.98

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Solution

The fourth proportional to 55,340.62, 83,010.84 and 20,282.98 is: 30,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,340.62 : 83,010.84 = 20,282.98 : x
  2. Step 2: Convert to fraction form
    55,340.62/83,010.84 = 20,282.98/x
  3. Step 3: Cross multiply
    55,340.62x = 83,010.84 × 20,282.98
  4. Step 4: Simplify right side
    55,340.62x = 1,683,707,207.50
  5. Step 5: Solve for x
    x = 1,683,707,207.50/55,340.62
  6. Step 6: Final answer
    x = 30,424.44

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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.