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Finding the Fourth Proportional to 30,833.62, 42,550.82 and 16,686.47

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Solution

The fourth proportional to 30,833.62, 42,550.82 and 16,686.47 is: 23,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.62 : 42,550.82 = 16,686.47 : x
  2. Step 2: Convert to fraction form
    30,833.62/42,550.82 = 16,686.47/x
  3. Step 3: Cross multiply
    30,833.62x = 42,550.82 × 16,686.47
  4. Step 4: Simplify right side
    30,833.62x = 710,022,887.41
  5. Step 5: Solve for x
    x = 710,022,887.41/30,833.62
  6. Step 6: Final answer
    x = 23,027.55

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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.