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Finding the Fourth Proportional to 34,953.44, 52,429.72 and 12,766.56

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Solution

The fourth proportional to 34,953.44, 52,429.72 and 12,766.56 is: 19,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,953.44 : 52,429.72 = 12,766.56 : x
  2. Step 2: Convert to fraction form
    34,953.44/52,429.72 = 12,766.56/x
  3. Step 3: Cross multiply
    34,953.44x = 52,429.72 × 12,766.56
  4. Step 4: Simplify right side
    34,953.44x = 669,347,166.16
  5. Step 5: Solve for x
    x = 669,347,166.16/34,953.44
  6. Step 6: Final answer
    x = 19,149.68

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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.