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Finding the Fourth Proportional to 32,005.13, 48,036.24 and 16,820.06

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Solution

The fourth proportional to 32,005.13, 48,036.24 and 16,820.06 is: 25,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.13 : 48,036.24 = 16,820.06 : x
  2. Step 2: Convert to fraction form
    32,005.13/48,036.24 = 16,820.06/x
  3. Step 3: Cross multiply
    32,005.13x = 48,036.24 × 16,820.06
  4. Step 4: Simplify right side
    32,005.13x = 807,972,198.79
  5. Step 5: Solve for x
    x = 807,972,198.79/32,005.13
  6. Step 6: Final answer
    x = 25,245.09

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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.