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Finding the Fourth Proportional to 32,524.46, 48,739.87 and 19,165.94

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Solution

The fourth proportional to 32,524.46, 48,739.87 and 19,165.94 is: 28,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,524.46 : 48,739.87 = 19,165.94 : x
  2. Step 2: Convert to fraction form
    32,524.46/48,739.87 = 19,165.94/x
  3. Step 3: Cross multiply
    32,524.46x = 48,739.87 × 19,165.94
  4. Step 4: Simplify right side
    32,524.46x = 934,145,424.03
  5. Step 5: Solve for x
    x = 934,145,424.03/32,524.46
  6. Step 6: Final answer
    x = 28,721.32

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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.