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Finding the Fourth Proportional to 30,933, 42,687.62 and 16,785.86

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Solution

The fourth proportional to 30,933, 42,687.62 and 16,785.86 is: 23,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933 : 42,687.62 = 16,785.86 : x
  2. Step 2: Convert to fraction form
    30,933/42,687.62 = 16,785.86/x
  3. Step 3: Cross multiply
    30,933x = 42,687.62 × 16,785.86
  4. Step 4: Simplify right side
    30,933x = 716,548,115.69
  5. Step 5: Solve for x
    x = 716,548,115.69/30,933
  6. Step 6: Final answer
    x = 23,164.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.