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Finding the Fourth Proportional to 32,650.20, 48,963 and 12,931.56

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Solution

The fourth proportional to 32,650.20, 48,963 and 12,931.56 is: 19,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,650.20 : 48,963 = 12,931.56 : x
  2. Step 2: Convert to fraction form
    32,650.20/48,963 = 12,931.56/x
  3. Step 3: Cross multiply
    32,650.20x = 48,963 × 12,931.56
  4. Step 4: Simplify right side
    32,650.20x = 633,167,972.28
  5. Step 5: Solve for x
    x = 633,167,972.28/32,650.20
  6. Step 6: Final answer
    x = 19,392.47

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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.