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Finding the Fourth Proportional to 49,078.36, 67,706.58 and 33,157

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Solution

The fourth proportional to 49,078.36, 67,706.58 and 33,157 is: 45,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,078.36 : 67,706.58 = 33,157 : x
  2. Step 2: Convert to fraction form
    49,078.36/67,706.58 = 33,157/x
  3. Step 3: Cross multiply
    49,078.36x = 67,706.58 × 33,157
  4. Step 4: Simplify right side
    49,078.36x = 2,244,947,073.06
  5. Step 5: Solve for x
    x = 2,244,947,073.06/49,078.36
  6. Step 6: Final answer
    x = 45,742.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.