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Finding the Fourth Proportional to 79,578.76, 119,367.50 and 29,657.16

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Solution

The fourth proportional to 79,578.76, 119,367.50 and 29,657.16 is: 44,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,578.76 : 119,367.50 = 29,657.16 : x
  2. Step 2: Convert to fraction form
    79,578.76/119,367.50 = 29,657.16/x
  3. Step 3: Cross multiply
    79,578.76x = 119,367.50 × 29,657.16
  4. Step 4: Simplify right side
    79,578.76x = 3,540,101,046.30
  5. Step 5: Solve for x
    x = 3,540,101,046.30/79,578.76
  6. Step 6: Final answer
    x = 44,485.50

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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.