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Finding the Fourth Proportional to 35,674.19, 49,230.26 and 19,758.63

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Solution

The fourth proportional to 35,674.19, 49,230.26 and 19,758.63 is: 27,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674.19 : 49,230.26 = 19,758.63 : x
  2. Step 2: Convert to fraction form
    35,674.19/49,230.26 = 19,758.63/x
  3. Step 3: Cross multiply
    35,674.19x = 49,230.26 × 19,758.63
  4. Step 4: Simplify right side
    35,674.19x = 972,722,652.06
  5. Step 5: Solve for x
    x = 972,722,652.06/35,674.19
  6. Step 6: Final answer
    x = 27,266.85

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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.