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Finding the Fourth Proportional to 49,957.92, 68,861.84 and 33,820.14

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Solution

The fourth proportional to 49,957.92, 68,861.84 and 33,820.14 is: 46,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,957.92 : 68,861.84 = 33,820.14 : x
  2. Step 2: Convert to fraction form
    49,957.92/68,861.84 = 33,820.14/x
  3. Step 3: Cross multiply
    49,957.92x = 68,861.84 × 33,820.14
  4. Step 4: Simplify right side
    49,957.92x = 2,328,917,069.46
  5. Step 5: Solve for x
    x = 2,328,917,069.46/49,957.92
  6. Step 6: Final answer
    x = 46,617.57

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1.5x scale

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.