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Finding the Fourth Proportional to 34,525.32, 51,777 and 11,146.32

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Solution

The fourth proportional to 34,525.32, 51,777 and 11,146.32 is: 16,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,525.32 : 51,777 = 11,146.32 : x
  2. Step 2: Convert to fraction form
    34,525.32/51,777 = 11,146.32/x
  3. Step 3: Cross multiply
    34,525.32x = 51,777 × 11,146.32
  4. Step 4: Simplify right side
    34,525.32x = 577,123,010.64
  5. Step 5: Solve for x
    x = 577,123,010.64/34,525.32
  6. Step 6: Final answer
    x = 16,715.94

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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.