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Finding the Fourth Proportional to 51,690.50, 77,535.76 and 34,156.24

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Solution

The fourth proportional to 51,690.50, 77,535.76 and 34,156.24 is: 51,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,690.50 : 77,535.76 = 34,156.24 : x
  2. Step 2: Convert to fraction form
    51,690.50/77,535.76 = 34,156.24/x
  3. Step 3: Cross multiply
    51,690.50x = 77,535.76 × 34,156.24
  4. Step 4: Simplify right side
    51,690.50x = 2,648,330,027.14
  5. Step 5: Solve for x
    x = 2,648,330,027.14/51,690.50
  6. Step 6: Final answer
    x = 51,234.37

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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.