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Finding the Fourth Proportional to 49,767.40, 74,564.70 and 32,228.20

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Solution

The fourth proportional to 49,767.40, 74,564.70 and 32,228.20 is: 48,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,767.40 : 74,564.70 = 32,228.20 : x
  2. Step 2: Convert to fraction form
    49,767.40/74,564.70 = 32,228.20/x
  3. Step 3: Cross multiply
    49,767.40x = 74,564.70 × 32,228.20
  4. Step 4: Simplify right side
    49,767.40x = 2,403,086,064.54
  5. Step 5: Solve for x
    x = 2,403,086,064.54/49,767.40
  6. Step 6: Final answer
    x = 48,286.35

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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.