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Finding the Fourth Proportional to 34,580.76, 51,871.18 and 9,620.82

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Solution

The fourth proportional to 34,580.76, 51,871.18 and 9,620.82 is: 14,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,580.76 : 51,871.18 = 9,620.82 : x
  2. Step 2: Convert to fraction form
    34,580.76/51,871.18 = 9,620.82/x
  3. Step 3: Cross multiply
    34,580.76x = 51,871.18 × 9,620.82
  4. Step 4: Simplify right side
    34,580.76x = 499,043,285.97
  5. Step 5: Solve for x
    x = 499,043,285.97/34,580.76
  6. Step 6: Final answer
    x = 14,431.24

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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.