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Finding the Fourth Proportional to 34,022, 46,955.40 and 19,882.64

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Solution

The fourth proportional to 34,022, 46,955.40 and 19,882.64 is: 27,440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,022 : 46,955.40 = 19,882.64 : x
  2. Step 2: Convert to fraction form
    34,022/46,955.40 = 19,882.64/x
  3. Step 3: Cross multiply
    34,022x = 46,955.40 × 19,882.64
  4. Step 4: Simplify right side
    34,022x = 933,597,314.26
  5. Step 5: Solve for x
    x = 933,597,314.26/34,022
  6. Step 6: Final answer
    x = 27,440.99

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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.