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Finding the Fourth Proportional to 31,368.94, 47,057.58 and 16,578.46

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Solution

The fourth proportional to 31,368.94, 47,057.58 and 16,578.46 is: 24,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,368.94 : 47,057.58 = 16,578.46 : x
  2. Step 2: Convert to fraction form
    31,368.94/47,057.58 = 16,578.46/x
  3. Step 3: Cross multiply
    31,368.94x = 47,057.58 × 16,578.46
  4. Step 4: Simplify right side
    31,368.94x = 780,142,207.73
  5. Step 5: Solve for x
    x = 780,142,207.73/31,368.94
  6. Step 6: Final answer
    x = 24,869.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.