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Finding the Fourth Proportional to 49,069.92, 67,718.60 and 27,851.16

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Solution

The fourth proportional to 49,069.92, 67,718.60 and 27,851.16 is: 38,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,069.92 : 67,718.60 = 27,851.16 : x
  2. Step 2: Convert to fraction form
    49,069.92/67,718.60 = 27,851.16/x
  3. Step 3: Cross multiply
    49,069.92x = 67,718.60 × 27,851.16
  4. Step 4: Simplify right side
    49,069.92x = 1,886,041,563.58
  5. Step 5: Solve for x
    x = 1,886,041,563.58/49,069.92
  6. Step 6: Final answer
    x = 38,435.80

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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.