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Finding the Fourth Proportional to 38,717.49, 58,071.74 and 12,065.46

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Solution

The fourth proportional to 38,717.49, 58,071.74 and 12,065.46 is: 18,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,717.49 : 58,071.74 = 12,065.46 : x
  2. Step 2: Convert to fraction form
    38,717.49/58,071.74 = 12,065.46/x
  3. Step 3: Cross multiply
    38,717.49x = 58,071.74 × 12,065.46
  4. Step 4: Simplify right side
    38,717.49x = 700,661,978.00
  5. Step 5: Solve for x
    x = 700,661,978.00/38,717.49
  6. Step 6: Final answer
    x = 18,096.78

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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.