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Finding the Fourth Proportional to 31,474.50, 47,211.78 and 13,006.98

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Solution

The fourth proportional to 31,474.50, 47,211.78 and 13,006.98 is: 19,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,474.50 : 47,211.78 = 13,006.98 : x
  2. Step 2: Convert to fraction form
    31,474.50/47,211.78 = 13,006.98/x
  3. Step 3: Cross multiply
    31,474.50x = 47,211.78 × 13,006.98
  4. Step 4: Simplify right side
    31,474.50x = 614,082,678.22
  5. Step 5: Solve for x
    x = 614,082,678.22/31,474.50
  6. Step 6: Final answer
    x = 19,510.48

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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.