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Finding the Fourth Proportional to 55,633.50, 83,463.38 and 18,193.43

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Solution

The fourth proportional to 55,633.50, 83,463.38 and 18,193.43 is: 27,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,633.50 : 83,463.38 = 18,193.43 : x
  2. Step 2: Convert to fraction form
    55,633.50/83,463.38 = 18,193.43/x
  3. Step 3: Cross multiply
    55,633.50x = 83,463.38 × 18,193.43
  4. Step 4: Simplify right side
    55,633.50x = 1,518,484,653.31
  5. Step 5: Solve for x
    x = 1,518,484,653.31/55,633.50
  6. Step 6: Final answer
    x = 27,294.43

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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.