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Finding the Fourth Proportional to 31,546.98, 47,313.16 and 9,355

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Solution

The fourth proportional to 31,546.98, 47,313.16 and 9,355 is: 14,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,546.98 : 47,313.16 = 9,355 : x
  2. Step 2: Convert to fraction form
    31,546.98/47,313.16 = 9,355/x
  3. Step 3: Cross multiply
    31,546.98x = 47,313.16 × 9,355
  4. Step 4: Simplify right side
    31,546.98x = 442,614,611.80
  5. Step 5: Solve for x
    x = 442,614,611.80/31,546.98
  6. Step 6: Final answer
    x = 14,030.33

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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.