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Finding the Fourth Proportional to 49,975.92, 74,963.92 and 13,039.92

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Solution

The fourth proportional to 49,975.92, 74,963.92 and 13,039.92 is: 19,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,975.92 : 74,963.92 = 13,039.92 : x
  2. Step 2: Convert to fraction form
    49,975.92/74,963.92 = 13,039.92/x
  3. Step 3: Cross multiply
    49,975.92x = 74,963.92 × 13,039.92
  4. Step 4: Simplify right side
    49,975.92x = 977,523,519.69
  5. Step 5: Solve for x
    x = 977,523,519.69/49,975.92
  6. Step 6: Final answer
    x = 19,559.89

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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.