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Finding the Fourth Proportional to 32,057.86, 48,081.93 and 11,276.50

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Solution

The fourth proportional to 32,057.86, 48,081.93 and 11,276.50 is: 16,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.86 : 48,081.93 = 11,276.50 : x
  2. Step 2: Convert to fraction form
    32,057.86/48,081.93 = 11,276.50/x
  3. Step 3: Cross multiply
    32,057.86x = 48,081.93 × 11,276.50
  4. Step 4: Simplify right side
    32,057.86x = 542,195,883.65
  5. Step 5: Solve for x
    x = 542,195,883.65/32,057.86
  6. Step 6: Final answer
    x = 16,913.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.