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Finding the Fourth Proportional to 34,492.31, 51,738.44 and 9,191.83

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Solution

The fourth proportional to 34,492.31, 51,738.44 and 9,191.83 is: 13,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,492.31 : 51,738.44 = 9,191.83 : x
  2. Step 2: Convert to fraction form
    34,492.31/51,738.44 = 9,191.83/x
  3. Step 3: Cross multiply
    34,492.31x = 51,738.44 × 9,191.83
  4. Step 4: Simplify right side
    34,492.31x = 475,570,944.95
  5. Step 5: Solve for x
    x = 475,570,944.95/34,492.31
  6. Step 6: Final answer
    x = 13,787.74

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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.