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Finding the Fourth Proportional to 32,555.36, 48,833.04 and 11,774

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Solution

The fourth proportional to 32,555.36, 48,833.04 and 11,774 is: 17,661

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,555.36 : 48,833.04 = 11,774 : x
  2. Step 2: Convert to fraction form
    32,555.36/48,833.04 = 11,774/x
  3. Step 3: Cross multiply
    32,555.36x = 48,833.04 × 11,774
  4. Step 4: Simplify right side
    32,555.36x = 574,960,212.96
  5. Step 5: Solve for x
    x = 574,960,212.96/32,555.36
  6. Step 6: Final answer
    x = 17,661

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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.