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Finding the Fourth Proportional to 73,898.72, 110,780.96 and 29,516

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Solution

The fourth proportional to 73,898.72, 110,780.96 and 29,516 is: 44,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,898.72 : 110,780.96 = 29,516 : x
  2. Step 2: Convert to fraction form
    73,898.72/110,780.96 = 29,516/x
  3. Step 3: Cross multiply
    73,898.72x = 110,780.96 × 29,516
  4. Step 4: Simplify right side
    73,898.72x = 3,269,810,815.36
  5. Step 5: Solve for x
    x = 3,269,810,815.36/73,898.72
  6. Step 6: Final answer
    x = 44,247.19

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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.