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Finding the Fourth Proportional to 34,385.62, 47,338.80 and 29,907

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Solution

The fourth proportional to 34,385.62, 47,338.80 and 29,907 is: 41,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,385.62 : 47,338.80 = 29,907 : x
  2. Step 2: Convert to fraction form
    34,385.62/47,338.80 = 29,907/x
  3. Step 3: Cross multiply
    34,385.62x = 47,338.80 × 29,907
  4. Step 4: Simplify right side
    34,385.62x = 1,415,761,491.60
  5. Step 5: Solve for x
    x = 1,415,761,491.60/34,385.62
  6. Step 6: Final answer
    x = 41,173.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.