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Finding the Fourth Proportional to 34,538.17, 51,806.04 and 11,164

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Solution

The fourth proportional to 34,538.17, 51,806.04 and 11,164 is: 16,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538.17 : 51,806.04 = 11,164 : x
  2. Step 2: Convert to fraction form
    34,538.17/51,806.04 = 11,164/x
  3. Step 3: Cross multiply
    34,538.17x = 51,806.04 × 11,164
  4. Step 4: Simplify right side
    34,538.17x = 578,362,630.56
  5. Step 5: Solve for x
    x = 578,362,630.56/34,538.17
  6. Step 6: Final answer
    x = 16,745.61

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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.