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Finding the Fourth Proportional to 53,683.56, 80,523.72 and 22,518

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Solution

The fourth proportional to 53,683.56, 80,523.72 and 22,518 is: 33,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,683.56 : 80,523.72 = 22,518 : x
  2. Step 2: Convert to fraction form
    53,683.56/80,523.72 = 22,518/x
  3. Step 3: Cross multiply
    53,683.56x = 80,523.72 × 22,518
  4. Step 4: Simplify right side
    53,683.56x = 1,813,233,126.96
  5. Step 5: Solve for x
    x = 1,813,233,126.96/53,683.56
  6. Step 6: Final answer
    x = 33,776.32

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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.