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Finding the Fourth Proportional to 31,693.68, 47,533.32 and 14,154

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Solution

The fourth proportional to 31,693.68, 47,533.32 and 14,154 is: 21,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.68 : 47,533.32 = 14,154 : x
  2. Step 2: Convert to fraction form
    31,693.68/47,533.32 = 14,154/x
  3. Step 3: Cross multiply
    31,693.68x = 47,533.32 × 14,154
  4. Step 4: Simplify right side
    31,693.68x = 672,786,611.28
  5. Step 5: Solve for x
    x = 672,786,611.28/31,693.68
  6. Step 6: Final answer
    x = 21,227.78

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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.