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Finding the Fourth Proportional to 49,852.58, 74,813.49 and 20,270.43

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Solution

The fourth proportional to 49,852.58, 74,813.49 and 20,270.43 is: 30,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,852.58 : 74,813.49 = 20,270.43 : x
  2. Step 2: Convert to fraction form
    49,852.58/74,813.49 = 20,270.43/x
  3. Step 3: Cross multiply
    49,852.58x = 74,813.49 × 20,270.43
  4. Step 4: Simplify right side
    49,852.58x = 1,516,501,612.10
  5. Step 5: Solve for x
    x = 1,516,501,612.10/49,852.58
  6. Step 6: Final answer
    x = 30,419.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.