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Finding the Fourth Proportional to 31,694.32, 47,522.04 and 14,140

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Solution

The fourth proportional to 31,694.32, 47,522.04 and 14,140 is: 21,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,694.32 : 47,522.04 = 14,140 : x
  2. Step 2: Convert to fraction form
    31,694.32/47,522.04 = 14,140/x
  3. Step 3: Cross multiply
    31,694.32x = 47,522.04 × 14,140
  4. Step 4: Simplify right side
    31,694.32x = 671,961,645.60
  5. Step 5: Solve for x
    x = 671,961,645.60/31,694.32
  6. Step 6: Final answer
    x = 21,201.33

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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.