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Finding the Fourth Proportional to 31,898.49, 47,846.12 and 9,711.38

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Solution

The fourth proportional to 31,898.49, 47,846.12 and 9,711.38 is: 14,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.49 : 47,846.12 = 9,711.38 : x
  2. Step 2: Convert to fraction form
    31,898.49/47,846.12 = 9,711.38/x
  3. Step 3: Cross multiply
    31,898.49x = 47,846.12 × 9,711.38
  4. Step 4: Simplify right side
    31,898.49x = 464,651,565.06
  5. Step 5: Solve for x
    x = 464,651,565.06/31,898.49
  6. Step 6: Final answer
    x = 14,566.57

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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.