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Finding the Fourth Proportional to 43,782.66, 65,680.48 and 16,078.50

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Solution

The fourth proportional to 43,782.66, 65,680.48 and 16,078.50 is: 24,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782.66 : 65,680.48 = 16,078.50 : x
  2. Step 2: Convert to fraction form
    43,782.66/65,680.48 = 16,078.50/x
  3. Step 3: Cross multiply
    43,782.66x = 65,680.48 × 16,078.50
  4. Step 4: Simplify right side
    43,782.66x = 1,056,043,597.68
  5. Step 5: Solve for x
    x = 1,056,043,597.68/43,782.66
  6. Step 6: Final answer
    x = 24,120.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.