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Finding the Fourth Proportional to 34,588, 47,731.44 and 19,684

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Solution

The fourth proportional to 34,588, 47,731.44 and 19,684 is: 27,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,588 : 47,731.44 = 19,684 : x
  2. Step 2: Convert to fraction form
    34,588/47,731.44 = 19,684/x
  3. Step 3: Cross multiply
    34,588x = 47,731.44 × 19,684
  4. Step 4: Simplify right side
    34,588x = 939,545,664.96
  5. Step 5: Solve for x
    x = 939,545,664.96/34,588
  6. Step 6: Final answer
    x = 27,163.92

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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.