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Finding the Fourth Proportional to 34,743.94, 52,115.94 and 8,448.50

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Solution

The fourth proportional to 34,743.94, 52,115.94 and 8,448.50 is: 12,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,743.94 : 52,115.94 = 8,448.50 : x
  2. Step 2: Convert to fraction form
    34,743.94/52,115.94 = 8,448.50/x
  3. Step 3: Cross multiply
    34,743.94x = 52,115.94 × 8,448.50
  4. Step 4: Simplify right side
    34,743.94x = 440,301,649.38
  5. Step 5: Solve for x
    x = 440,301,649.38/34,743.94
  6. Step 6: Final answer
    x = 12,672.76

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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.