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Finding the Fourth Proportional to 35,734.56, 49,317.29 and 19,822.11

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Solution

The fourth proportional to 35,734.56, 49,317.29 and 19,822.11 is: 27,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,734.56 : 49,317.29 = 19,822.11 : x
  2. Step 2: Convert to fraction form
    35,734.56/49,317.29 = 19,822.11/x
  3. Step 3: Cross multiply
    35,734.56x = 49,317.29 × 19,822.11
  4. Step 4: Simplify right side
    35,734.56x = 977,572,747.28
  5. Step 5: Solve for x
    x = 977,572,747.28/35,734.56
  6. Step 6: Final answer
    x = 27,356.51

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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.