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Finding the Fourth Proportional to 32,095.72, 48,151.74 and 11,321.32

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Solution

The fourth proportional to 32,095.72, 48,151.74 and 11,321.32 is: 16,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.72 : 48,151.74 = 11,321.32 : x
  2. Step 2: Convert to fraction form
    32,095.72/48,151.74 = 11,321.32/x
  3. Step 3: Cross multiply
    32,095.72x = 48,151.74 × 11,321.32
  4. Step 4: Simplify right side
    32,095.72x = 545,141,257.10
  5. Step 5: Solve for x
    x = 545,141,257.10/32,095.72
  6. Step 6: Final answer
    x = 16,984.86

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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.