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Finding the Fourth Proportional to 30,845.66, 42,567.03 and 16,698.50

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Solution

The fourth proportional to 30,845.66, 42,567.03 and 16,698.50 is: 23,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845.66 : 42,567.03 = 16,698.50 : x
  2. Step 2: Convert to fraction form
    30,845.66/42,567.03 = 16,698.50/x
  3. Step 3: Cross multiply
    30,845.66x = 42,567.03 × 16,698.50
  4. Step 4: Simplify right side
    30,845.66x = 710,805,736.69
  5. Step 5: Solve for x
    x = 710,805,736.69/30,845.66
  6. Step 6: Final answer
    x = 23,043.95

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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.