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Finding the Fourth Proportional to 31,436.70, 47,099.16 and 16,655.82

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Solution

The fourth proportional to 31,436.70, 47,099.16 and 16,655.82 is: 24,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,436.70 : 47,099.16 = 16,655.82 : x
  2. Step 2: Convert to fraction form
    31,436.70/47,099.16 = 16,655.82/x
  3. Step 3: Cross multiply
    31,436.70x = 47,099.16 × 16,655.82
  4. Step 4: Simplify right side
    31,436.70x = 784,475,131.11
  5. Step 5: Solve for x
    x = 784,475,131.11/31,436.70
  6. Step 6: Final answer
    x = 24,954.12

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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.