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Finding the Fourth Proportional to 32,446.52, 48,662.44 and 14,899.48

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Solution

The fourth proportional to 32,446.52, 48,662.44 and 14,899.48 is: 22,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.52 : 48,662.44 = 14,899.48 : x
  2. Step 2: Convert to fraction form
    32,446.52/48,662.44 = 14,899.48/x
  3. Step 3: Cross multiply
    32,446.52x = 48,662.44 × 14,899.48
  4. Step 4: Simplify right side
    32,446.52x = 725,045,051.53
  5. Step 5: Solve for x
    x = 725,045,051.53/32,446.52
  6. Step 6: Final answer
    x = 22,345.85

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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.