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Finding the Fourth Proportional to 32,396.53, 48,573.97 and 13,671.45

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Solution

The fourth proportional to 32,396.53, 48,573.97 and 13,671.45 is: 20,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,396.53 : 48,573.97 = 13,671.45 : x
  2. Step 2: Convert to fraction form
    32,396.53/48,573.97 = 13,671.45/x
  3. Step 3: Cross multiply
    32,396.53x = 48,573.97 × 13,671.45
  4. Step 4: Simplify right side
    32,396.53x = 664,076,602.16
  5. Step 5: Solve for x
    x = 664,076,602.16/32,396.53
  6. Step 6: Final answer
    x = 20,498.39

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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.