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Finding the Fourth Proportional to 31,124.34, 42,951.63 and 16,977.21

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Solution

The fourth proportional to 31,124.34, 42,951.63 and 16,977.21 is: 23,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.34 : 42,951.63 = 16,977.21 : x
  2. Step 2: Convert to fraction form
    31,124.34/42,951.63 = 16,977.21/x
  3. Step 3: Cross multiply
    31,124.34x = 42,951.63 × 16,977.21
  4. Step 4: Simplify right side
    31,124.34x = 729,198,842.35
  5. Step 5: Solve for x
    x = 729,198,842.35/31,124.34
  6. Step 6: Final answer
    x = 23,428.57

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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.