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Finding the Fourth Proportional to 31,645.49, 47,444.56 and 19,162.46

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Solution

The fourth proportional to 31,645.49, 47,444.56 and 19,162.46 is: 28,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,645.49 : 47,444.56 = 19,162.46 : x
  2. Step 2: Convert to fraction form
    31,645.49/47,444.56 = 19,162.46/x
  3. Step 3: Cross multiply
    31,645.49x = 47,444.56 × 19,162.46
  4. Step 4: Simplify right side
    31,645.49x = 909,154,553.92
  5. Step 5: Solve for x
    x = 909,154,553.92/31,645.49
  6. Step 6: Final answer
    x = 28,729.36

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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.