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Finding the Fourth Proportional to 55,220.76, 82,801.98 and 24,039

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Solution

The fourth proportional to 55,220.76, 82,801.98 and 24,039 is: 36,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,220.76 : 82,801.98 = 24,039 : x
  2. Step 2: Convert to fraction form
    55,220.76/82,801.98 = 24,039/x
  3. Step 3: Cross multiply
    55,220.76x = 82,801.98 × 24,039
  4. Step 4: Simplify right side
    55,220.76x = 1,990,476,797.22
  5. Step 5: Solve for x
    x = 1,990,476,797.22/55,220.76
  6. Step 6: Final answer
    x = 36,045.81

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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.