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Finding the Fourth Proportional to 81,648, 122,479.74 and 31,731.95

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Solution

The fourth proportional to 81,648, 122,479.74 and 31,731.95 is: 47,600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,648 : 122,479.74 = 31,731.95 : x
  2. Step 2: Convert to fraction form
    81,648/122,479.74 = 31,731.95/x
  3. Step 3: Cross multiply
    81,648x = 122,479.74 × 31,731.95
  4. Step 4: Simplify right side
    81,648x = 3,886,520,373.29
  5. Step 5: Solve for x
    x = 3,886,520,373.29/81,648
  6. Step 6: Final answer
    x = 47,600.93

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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.