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Finding the Fourth Proportional to 30,845.92, 42,567.42 and 16,698.82

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Solution

The fourth proportional to 30,845.92, 42,567.42 and 16,698.82 is: 23,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845.92 : 42,567.42 = 16,698.82 : x
  2. Step 2: Convert to fraction form
    30,845.92/42,567.42 = 16,698.82/x
  3. Step 3: Cross multiply
    30,845.92x = 42,567.42 × 16,698.82
  4. Step 4: Simplify right side
    30,845.92x = 710,825,684.44
  5. Step 5: Solve for x
    x = 710,825,684.44/30,845.92
  6. Step 6: Final answer
    x = 23,044.40

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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.