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Finding the Fourth Proportional to 55,802.44, 83,701.90 and 13,682.64

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Solution

The fourth proportional to 55,802.44, 83,701.90 and 13,682.64 is: 20,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,802.44 : 83,701.90 = 13,682.64 : x
  2. Step 2: Convert to fraction form
    55,802.44/83,701.90 = 13,682.64/x
  3. Step 3: Cross multiply
    55,802.44x = 83,701.90 × 13,682.64
  4. Step 4: Simplify right side
    55,802.44x = 1,145,262,965.02
  5. Step 5: Solve for x
    x = 1,145,262,965.02/55,802.44
  6. Step 6: Final answer
    x = 20,523.53

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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.