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Finding the Fourth Proportional to 35,829.48, 49,439.16 and 19,913.88

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Solution

The fourth proportional to 35,829.48, 49,439.16 and 19,913.88 is: 27,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829.48 : 49,439.16 = 19,913.88 : x
  2. Step 2: Convert to fraction form
    35,829.48/49,439.16 = 19,913.88/x
  3. Step 3: Cross multiply
    35,829.48x = 49,439.16 × 19,913.88
  4. Step 4: Simplify right side
    35,829.48x = 984,525,499.54
  5. Step 5: Solve for x
    x = 984,525,499.54/35,829.48
  6. Step 6: Final answer
    x = 27,478.09

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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.