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Finding the Fourth Proportional to 51,773.22, 77,644.80 and 20,176.24

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Solution

The fourth proportional to 51,773.22, 77,644.80 and 20,176.24 is: 30,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.22 : 77,644.80 = 20,176.24 : x
  2. Step 2: Convert to fraction form
    51,773.22/77,644.80 = 20,176.24/x
  3. Step 3: Cross multiply
    51,773.22x = 77,644.80 × 20,176.24
  4. Step 4: Simplify right side
    51,773.22x = 1,566,580,119.55
  5. Step 5: Solve for x
    x = 1,566,580,119.55/51,773.22
  6. Step 6: Final answer
    x = 30,258.50

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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.