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Finding the Fourth Proportional to 32,584.96, 48,851.52 and 14,104

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Solution

The fourth proportional to 32,584.96, 48,851.52 and 14,104 is: 21,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584.96 : 48,851.52 = 14,104 : x
  2. Step 2: Convert to fraction form
    32,584.96/48,851.52 = 14,104/x
  3. Step 3: Cross multiply
    32,584.96x = 48,851.52 × 14,104
  4. Step 4: Simplify right side
    32,584.96x = 689,001,838.08
  5. Step 5: Solve for x
    x = 689,001,838.08/32,584.96
  6. Step 6: Final answer
    x = 21,144.78

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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.