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Finding the Fourth Proportional to 35,738.76, 49,317.15 and 19,822.11

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Solution

The fourth proportional to 35,738.76, 49,317.15 and 19,822.11 is: 27,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738.76 : 49,317.15 = 19,822.11 : x
  2. Step 2: Convert to fraction form
    35,738.76/49,317.15 = 19,822.11/x
  3. Step 3: Cross multiply
    35,738.76x = 49,317.15 × 19,822.11
  4. Step 4: Simplify right side
    35,738.76x = 977,569,972.19
  5. Step 5: Solve for x
    x = 977,569,972.19/35,738.76
  6. Step 6: Final answer
    x = 27,353.21

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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.