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Finding the Fourth Proportional to 31,492.29, 47,227.41 and 9,299.76

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Solution

The fourth proportional to 31,492.29, 47,227.41 and 9,299.76 is: 13,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,492.29 : 47,227.41 = 9,299.76 : x
  2. Step 2: Convert to fraction form
    31,492.29/47,227.41 = 9,299.76/x
  3. Step 3: Cross multiply
    31,492.29x = 47,227.41 × 9,299.76
  4. Step 4: Simplify right side
    31,492.29x = 439,203,578.42
  5. Step 5: Solve for x
    x = 439,203,578.42/31,492.29
  6. Step 6: Final answer
    x = 13,946.38

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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.