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Finding the Fourth Proportional to 34,049.70, 51,056.82 and 15,313.50

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Solution

The fourth proportional to 34,049.70, 51,056.82 and 15,313.50 is: 22,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,049.70 : 51,056.82 = 15,313.50 : x
  2. Step 2: Convert to fraction form
    34,049.70/51,056.82 = 15,313.50/x
  3. Step 3: Cross multiply
    34,049.70x = 51,056.82 × 15,313.50
  4. Step 4: Simplify right side
    34,049.70x = 781,858,613.07
  5. Step 5: Solve for x
    x = 781,858,613.07/34,049.70
  6. Step 6: Final answer
    x = 22,962.28

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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.