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Finding the Fourth Proportional to 48,116.36, 72,183.65 and 21,823.17

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Solution

The fourth proportional to 48,116.36, 72,183.65 and 21,823.17 is: 32,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,116.36 : 72,183.65 = 21,823.17 : x
  2. Step 2: Convert to fraction form
    48,116.36/72,183.65 = 21,823.17/x
  3. Step 3: Cross multiply
    48,116.36x = 72,183.65 × 21,823.17
  4. Step 4: Simplify right side
    48,116.36x = 1,575,275,956.05
  5. Step 5: Solve for x
    x = 1,575,275,956.05/48,116.36
  6. Step 6: Final answer
    x = 32,738.89

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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.