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Finding the Fourth Proportional to 32,293.62, 48,446.91 and 11,516.58

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Solution

The fourth proportional to 32,293.62, 48,446.91 and 11,516.58 is: 17,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,293.62 : 48,446.91 = 11,516.58 : x
  2. Step 2: Convert to fraction form
    32,293.62/48,446.91 = 11,516.58/x
  3. Step 3: Cross multiply
    32,293.62x = 48,446.91 × 11,516.58
  4. Step 4: Simplify right side
    32,293.62x = 557,942,714.77
  5. Step 5: Solve for x
    x = 557,942,714.77/32,293.62
  6. Step 6: Final answer
    x = 17,277.18

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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.