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Finding the Fourth Proportional to 52,319.53, 72,183.38 and 29,656.74

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Solution

The fourth proportional to 52,319.53, 72,183.38 and 29,656.74 is: 40,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,319.53 : 72,183.38 = 29,656.74 : x
  2. Step 2: Convert to fraction form
    52,319.53/72,183.38 = 29,656.74/x
  3. Step 3: Cross multiply
    52,319.53x = 72,183.38 × 29,656.74
  4. Step 4: Simplify right side
    52,319.53x = 2,140,723,732.98
  5. Step 5: Solve for x
    x = 2,140,723,732.98/52,319.53
  6. Step 6: Final answer
    x = 40,916.34

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Why These Related Problems?

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