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Finding the Fourth Proportional to 34,489.06, 51,734.56 and 9,529.11

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Solution

The fourth proportional to 34,489.06, 51,734.56 and 9,529.11 is: 14,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,489.06 : 51,734.56 = 9,529.11 : x
  2. Step 2: Convert to fraction form
    34,489.06/51,734.56 = 9,529.11/x
  3. Step 3: Cross multiply
    34,489.06x = 51,734.56 × 9,529.11
  4. Step 4: Simplify right side
    34,489.06x = 492,984,313.04
  5. Step 5: Solve for x
    x = 492,984,313.04/34,489.06
  6. Step 6: Final answer
    x = 14,293.93

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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.