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Finding the Fourth Proportional to 48,509.38, 72,764.09 and 21,824.21

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Solution

The fourth proportional to 48,509.38, 72,764.09 and 21,824.21 is: 32,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,509.38 : 72,764.09 = 21,824.21 : x
  2. Step 2: Convert to fraction form
    48,509.38/72,764.09 = 21,824.21/x
  3. Step 3: Cross multiply
    48,509.38x = 72,764.09 × 21,824.21
  4. Step 4: Simplify right side
    48,509.38x = 1,588,018,389.52
  5. Step 5: Solve for x
    x = 1,588,018,389.52/48,509.38
  6. Step 6: Final answer
    x = 32,736.32

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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.