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Finding the Fourth Proportional to 46,612.54, 69,891.81 and 31,839.31

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Solution

The fourth proportional to 46,612.54, 69,891.81 and 31,839.31 is: 47,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,612.54 : 69,891.81 = 31,839.31 : x
  2. Step 2: Convert to fraction form
    46,612.54/69,891.81 = 31,839.31/x
  3. Step 3: Cross multiply
    46,612.54x = 69,891.81 × 31,839.31
  4. Step 4: Simplify right side
    46,612.54x = 2,225,307,005.05
  5. Step 5: Solve for x
    x = 2,225,307,005.05/46,612.54
  6. Step 6: Final answer
    x = 47,740.52

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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.