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Finding the Fourth Proportional to 32,400, 48,490.26 and 19,927.94

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Solution

The fourth proportional to 32,400, 48,490.26 and 19,927.94 is: 29,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400 : 48,490.26 = 19,927.94 : x
  2. Step 2: Convert to fraction form
    32,400/48,490.26 = 19,927.94/x
  3. Step 3: Cross multiply
    32,400x = 48,490.26 × 19,927.94
  4. Step 4: Simplify right side
    32,400x = 966,310,991.86
  5. Step 5: Solve for x
    x = 966,310,991.86/32,400
  6. Step 6: Final answer
    x = 29,824.41

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