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Finding the Fourth Proportional to 32,160.83, 48,246.72 and 11,095.16

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Solution

The fourth proportional to 32,160.83, 48,246.72 and 11,095.16 is: 16,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160.83 : 48,246.72 = 11,095.16 : x
  2. Step 2: Convert to fraction form
    32,160.83/48,246.72 = 11,095.16/x
  3. Step 3: Cross multiply
    32,160.83x = 48,246.72 × 11,095.16
  4. Step 4: Simplify right side
    32,160.83x = 535,305,077.88
  5. Step 5: Solve for x
    x = 535,305,077.88/32,160.83
  6. Step 6: Final answer
    x = 16,644.63

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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.