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Finding the Fourth Proportional to 34,739.52, 52,111.70 and 13,963

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Solution

The fourth proportional to 34,739.52, 52,111.70 and 13,963 is: 20,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,739.52 : 52,111.70 = 13,963 : x
  2. Step 2: Convert to fraction form
    34,739.52/52,111.70 = 13,963/x
  3. Step 3: Cross multiply
    34,739.52x = 52,111.70 × 13,963
  4. Step 4: Simplify right side
    34,739.52x = 727,635,667.10
  5. Step 5: Solve for x
    x = 727,635,667.10/34,739.52
  6. Step 6: Final answer
    x = 20,945.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.