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Finding the Fourth Proportional to 32,495.63, 48,743.46 and 7,871.63

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Solution

The fourth proportional to 32,495.63, 48,743.46 and 7,871.63 is: 11,807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.63 : 48,743.46 = 7,871.63 : x
  2. Step 2: Convert to fraction form
    32,495.63/48,743.46 = 7,871.63/x
  3. Step 3: Cross multiply
    32,495.63x = 48,743.46 × 7,871.63
  4. Step 4: Simplify right side
    32,495.63x = 383,690,238.32
  5. Step 5: Solve for x
    x = 383,690,238.32/32,495.63
  6. Step 6: Final answer
    x = 11,807.44

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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.