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Finding the Fourth Proportional to 49,078.53, 73,629.72 and 15,801.75

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Solution

The fourth proportional to 49,078.53, 73,629.72 and 15,801.75 is: 23,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,078.53 : 73,629.72 = 15,801.75 : x
  2. Step 2: Convert to fraction form
    49,078.53/73,629.72 = 15,801.75/x
  3. Step 3: Cross multiply
    49,078.53x = 73,629.72 × 15,801.75
  4. Step 4: Simplify right side
    49,078.53x = 1,163,478,428.01
  5. Step 5: Solve for x
    x = 1,163,478,428.01/49,078.53
  6. Step 6: Final answer
    x = 23,706.46

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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.