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Finding the Fourth Proportional to 34,111.98, 47,071.41 and 19,965.90

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Solution

The fourth proportional to 34,111.98, 47,071.41 and 19,965.90 is: 27,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,111.98 : 47,071.41 = 19,965.90 : x
  2. Step 2: Convert to fraction form
    34,111.98/47,071.41 = 19,965.90/x
  3. Step 3: Cross multiply
    34,111.98x = 47,071.41 × 19,965.90
  4. Step 4: Simplify right side
    34,111.98x = 939,823,064.92
  5. Step 5: Solve for x
    x = 939,823,064.92/34,111.98
  6. Step 6: Final answer
    x = 27,551.11

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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.