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Finding the Fourth Proportional to 30,845.94, 42,567.38 and 16,698.77

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Solution

The fourth proportional to 30,845.94, 42,567.38 and 16,698.77 is: 23,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845.94 : 42,567.38 = 16,698.77 : x
  2. Step 2: Convert to fraction form
    30,845.94/42,567.38 = 16,698.77/x
  3. Step 3: Cross multiply
    30,845.94x = 42,567.38 × 16,698.77
  4. Step 4: Simplify right side
    30,845.94x = 710,822,591.79
  5. Step 5: Solve for x
    x = 710,822,591.79/30,845.94
  6. Step 6: Final answer
    x = 23,044.28

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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.