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Finding the Fourth Proportional to 46,593.50, 69,863.31 and 31,820.31

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Solution

The fourth proportional to 46,593.50, 69,863.31 and 31,820.31 is: 47,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,593.50 : 69,863.31 = 31,820.31 : x
  2. Step 2: Convert to fraction form
    46,593.50/69,863.31 = 31,820.31/x
  3. Step 3: Cross multiply
    46,593.50x = 69,863.31 × 31,820.31
  4. Step 4: Simplify right side
    46,593.50x = 2,223,072,181.83
  5. Step 5: Solve for x
    x = 2,223,072,181.83/46,593.50
  6. Step 6: Final answer
    x = 47,712.07

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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.