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Finding the Fourth Proportional to 35,822.98, 49,434.73 and 19,907.02

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Solution

The fourth proportional to 35,822.98, 49,434.73 and 19,907.02 is: 27,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,822.98 : 49,434.73 = 19,907.02 : x
  2. Step 2: Convert to fraction form
    35,822.98/49,434.73 = 19,907.02/x
  3. Step 3: Cross multiply
    35,822.98x = 49,434.73 × 19,907.02
  4. Step 4: Simplify right side
    35,822.98x = 984,098,158.80
  5. Step 5: Solve for x
    x = 984,098,158.80/35,822.98
  6. Step 6: Final answer
    x = 27,471.14

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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.