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Finding the Fourth Proportional to 34,549.66, 47,678 and 19,441.14

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Solution

The fourth proportional to 34,549.66, 47,678 and 19,441.14 is: 26,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,549.66 : 47,678 = 19,441.14 : x
  2. Step 2: Convert to fraction form
    34,549.66/47,678 = 19,441.14/x
  3. Step 3: Cross multiply
    34,549.66x = 47,678 × 19,441.14
  4. Step 4: Simplify right side
    34,549.66x = 926,914,672.92
  5. Step 5: Solve for x
    x = 926,914,672.92/34,549.66
  6. Step 6: Final answer
    x = 26,828.47

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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.