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Finding the Fourth Proportional to 35,738.28, 49,318.47 and 19,822.32

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Solution

The fourth proportional to 35,738.28, 49,318.47 and 19,822.32 is: 27,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738.28 : 49,318.47 = 19,822.32 : x
  2. Step 2: Convert to fraction form
    35,738.28/49,318.47 = 19,822.32/x
  3. Step 3: Cross multiply
    35,738.28x = 49,318.47 × 19,822.32
  4. Step 4: Simplify right side
    35,738.28x = 977,606,494.25
  5. Step 5: Solve for x
    x = 977,606,494.25/35,738.28
  6. Step 6: Final answer
    x = 27,354.60

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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.