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Finding the Fourth Proportional to 35,829.40, 49,443.96 and 19,913.44

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Solution

The fourth proportional to 35,829.40, 49,443.96 and 19,913.44 is: 27,480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829.40 : 49,443.96 = 19,913.44 : x
  2. Step 2: Convert to fraction form
    35,829.40/49,443.96 = 19,913.44/x
  3. Step 3: Cross multiply
    35,829.40x = 49,443.96 × 19,913.44
  4. Step 4: Simplify right side
    35,829.40x = 984,599,330.82
  5. Step 5: Solve for x
    x = 984,599,330.82/35,829.40
  6. Step 6: Final answer
    x = 27,480.21

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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.