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Finding the Fourth Proportional to 46,100.96, 69,215.13 and 31,835.97

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Solution

The fourth proportional to 46,100.96, 69,215.13 and 31,835.97 is: 47,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,100.96 : 69,215.13 = 31,835.97 : x
  2. Step 2: Convert to fraction form
    46,100.96/69,215.13 = 31,835.97/x
  3. Step 3: Cross multiply
    46,100.96x = 69,215.13 × 31,835.97
  4. Step 4: Simplify right side
    46,100.96x = 2,203,530,802.23
  5. Step 5: Solve for x
    x = 2,203,530,802.23/46,100.96
  6. Step 6: Final answer
    x = 47,797.94

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1.5x scale

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.