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Finding the Fourth Proportional to 30,491.78, 42,077.14 and 17,063.06

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Solution

The fourth proportional to 30,491.78, 42,077.14 and 17,063.06 is: 23,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.78 : 42,077.14 = 17,063.06 : x
  2. Step 2: Convert to fraction form
    30,491.78/42,077.14 = 17,063.06/x
  3. Step 3: Cross multiply
    30,491.78x = 42,077.14 × 17,063.06
  4. Step 4: Simplify right side
    30,491.78x = 717,964,511.41
  5. Step 5: Solve for x
    x = 717,964,511.41/30,491.78
  6. Step 6: Final answer
    x = 23,546.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.