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Finding the Fourth Proportional to 32,780.75, 49,169.86 and 9,407.19

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Solution

The fourth proportional to 32,780.75, 49,169.86 and 9,407.19 is: 14,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780.75 : 49,169.86 = 9,407.19 : x
  2. Step 2: Convert to fraction form
    32,780.75/49,169.86 = 9,407.19/x
  3. Step 3: Cross multiply
    32,780.75x = 49,169.86 × 9,407.19
  4. Step 4: Simplify right side
    32,780.75x = 462,550,099.58
  5. Step 5: Solve for x
    x = 462,550,099.58/32,780.75
  6. Step 6: Final answer
    x = 14,110.42

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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.