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Finding the Fourth Proportional to 49,866.78, 74,314.10 and 48,427.41

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Solution

The fourth proportional to 49,866.78, 74,314.10 and 48,427.41 is: 72,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,866.78 : 74,314.10 = 48,427.41 : x
  2. Step 2: Convert to fraction form
    49,866.78/74,314.10 = 48,427.41/x
  3. Step 3: Cross multiply
    49,866.78x = 74,314.10 × 48,427.41
  4. Step 4: Simplify right side
    49,866.78x = 3,598,839,147.34
  5. Step 5: Solve for x
    x = 3,598,839,147.34/49,866.78
  6. Step 6: Final answer
    x = 72,169.07

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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.