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Finding the Fourth Proportional to 51,801.18, 77,649.48 and 20,191.50

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Solution

The fourth proportional to 51,801.18, 77,649.48 and 20,191.50 is: 30,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,801.18 : 77,649.48 = 20,191.50 : x
  2. Step 2: Convert to fraction form
    51,801.18/77,649.48 = 20,191.50/x
  3. Step 3: Cross multiply
    51,801.18x = 77,649.48 × 20,191.50
  4. Step 4: Simplify right side
    51,801.18x = 1,567,859,475.42
  5. Step 5: Solve for x
    x = 1,567,859,475.42/51,801.18
  6. Step 6: Final answer
    x = 30,266.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.