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Finding the Fourth Proportional to 43,814.30, 65,695.05 and 16,784.54

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Solution

The fourth proportional to 43,814.30, 65,695.05 and 16,784.54 is: 25,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,814.30 : 65,695.05 = 16,784.54 : x
  2. Step 2: Convert to fraction form
    43,814.30/65,695.05 = 16,784.54/x
  3. Step 3: Cross multiply
    43,814.30x = 65,695.05 × 16,784.54
  4. Step 4: Simplify right side
    43,814.30x = 1,102,661,194.53
  5. Step 5: Solve for x
    x = 1,102,661,194.53/43,814.30
  6. Step 6: Final answer
    x = 25,166.70

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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.