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Finding the Fourth Proportional to 35,738.84, 49,318.34 and 19,824.77

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Solution

The fourth proportional to 35,738.84, 49,318.34 and 19,824.77 is: 27,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738.84 : 49,318.34 = 19,824.77 : x
  2. Step 2: Convert to fraction form
    35,738.84/49,318.34 = 19,824.77/x
  3. Step 3: Cross multiply
    35,738.84x = 49,318.34 × 19,824.77
  4. Step 4: Simplify right side
    35,738.84x = 977,724,494.04
  5. Step 5: Solve for x
    x = 977,724,494.04/35,738.84
  6. Step 6: Final answer
    x = 27,357.48

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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.