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Finding the Fourth Proportional to 46,545.89, 69,694.90 and 31,783.64

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Solution

The fourth proportional to 46,545.89, 69,694.90 and 31,783.64 is: 47,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,545.89 : 69,694.90 = 31,783.64 : x
  2. Step 2: Convert to fraction form
    46,545.89/69,694.90 = 31,783.64/x
  3. Step 3: Cross multiply
    46,545.89x = 69,694.90 × 31,783.64
  4. Step 4: Simplify right side
    46,545.89x = 2,215,157,183.50
  5. Step 5: Solve for x
    x = 2,215,157,183.50/46,545.89
  6. Step 6: Final answer
    x = 47,590.83

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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.