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Finding the Fourth Proportional to 32,648.96, 48,947.44 and 14,168

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Solution

The fourth proportional to 32,648.96, 48,947.44 and 14,168 is: 21,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.96 : 48,947.44 = 14,168 : x
  2. Step 2: Convert to fraction form
    32,648.96/48,947.44 = 14,168/x
  3. Step 3: Cross multiply
    32,648.96x = 48,947.44 × 14,168
  4. Step 4: Simplify right side
    32,648.96x = 693,487,329.92
  5. Step 5: Solve for x
    x = 693,487,329.92/32,648.96
  6. Step 6: Final answer
    x = 21,240.72

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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.