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Finding the Fourth Proportional to 49,878.72, 74,274.90 and 49,326.50

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Solution

The fourth proportional to 49,878.72, 74,274.90 and 49,326.50 is: 73,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,878.72 : 74,274.90 = 49,326.50 : x
  2. Step 2: Convert to fraction form
    49,878.72/74,274.90 = 49,326.50/x
  3. Step 3: Cross multiply
    49,878.72x = 74,274.90 × 49,326.50
  4. Step 4: Simplify right side
    49,878.72x = 3,663,720,608.22
  5. Step 5: Solve for x
    x = 3,663,720,608.22/49,878.72
  6. Step 6: Final answer
    x = 73,452.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.