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Finding the Fourth Proportional to 32,847.85, 49,278.62 and 10,661.68

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Solution

The fourth proportional to 32,847.85, 49,278.62 and 10,661.68 is: 15,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.85 : 49,278.62 = 10,661.68 : x
  2. Step 2: Convert to fraction form
    32,847.85/49,278.62 = 10,661.68/x
  3. Step 3: Cross multiply
    32,847.85x = 49,278.62 × 10,661.68
  4. Step 4: Simplify right side
    32,847.85x = 525,392,877.28
  5. Step 5: Solve for x
    x = 525,392,877.28/32,847.85
  6. Step 6: Final answer
    x = 15,994.74

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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.