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Finding the Fourth Proportional to 35,738.31, 49,319.22 and 19,823.02

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Solution

The fourth proportional to 35,738.31, 49,319.22 and 19,823.02 is: 27,355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738.31 : 49,319.22 = 19,823.02 : x
  2. Step 2: Convert to fraction form
    35,738.31/49,319.22 = 19,823.02/x
  3. Step 3: Cross multiply
    35,738.31x = 49,319.22 × 19,823.02
  4. Step 4: Simplify right side
    35,738.31x = 977,655,884.44
  5. Step 5: Solve for x
    x = 977,655,884.44/35,738.31
  6. Step 6: Final answer
    x = 27,355.96

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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.