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Finding the Fourth Proportional to 34,024.56, 46,938.60 and 19,869

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Solution

The fourth proportional to 34,024.56, 46,938.60 and 19,869 is: 27,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,024.56 : 46,938.60 = 19,869 : x
  2. Step 2: Convert to fraction form
    34,024.56/46,938.60 = 19,869/x
  3. Step 3: Cross multiply
    34,024.56x = 46,938.60 × 19,869
  4. Step 4: Simplify right side
    34,024.56x = 932,623,043.40
  5. Step 5: Solve for x
    x = 932,623,043.40/34,024.56
  6. Step 6: Final answer
    x = 27,410.29

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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.