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Finding the Fourth Proportional to 35,829.84, 49,444.97 and 19,914.19

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Solution

The fourth proportional to 35,829.84, 49,444.97 and 19,914.19 is: 27,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829.84 : 49,444.97 = 19,914.19 : x
  2. Step 2: Convert to fraction form
    35,829.84/49,444.97 = 19,914.19/x
  3. Step 3: Cross multiply
    35,829.84x = 49,444.97 × 19,914.19
  4. Step 4: Simplify right side
    35,829.84x = 984,656,303.94
  5. Step 5: Solve for x
    x = 984,656,303.94/35,829.84
  6. Step 6: Final answer
    x = 27,481.46

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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.