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Finding the Fourth Proportional to 35,578.27, 49,098.16 and 19,445.90

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Solution

The fourth proportional to 35,578.27, 49,098.16 and 19,445.90 is: 26,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,578.27 : 49,098.16 = 19,445.90 : x
  2. Step 2: Convert to fraction form
    35,578.27/49,098.16 = 19,445.90/x
  3. Step 3: Cross multiply
    35,578.27x = 49,098.16 × 19,445.90
  4. Step 4: Simplify right side
    35,578.27x = 954,757,909.54
  5. Step 5: Solve for x
    x = 954,757,909.54/35,578.27
  6. Step 6: Final answer
    x = 26,835.43

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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.