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Finding the Fourth Proportional to 35,198.94, 48,572 and 19,280.82

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Solution

The fourth proportional to 35,198.94, 48,572 and 19,280.82 is: 26,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,198.94 : 48,572 = 19,280.82 : x
  2. Step 2: Convert to fraction form
    35,198.94/48,572 = 19,280.82/x
  3. Step 3: Cross multiply
    35,198.94x = 48,572 × 19,280.82
  4. Step 4: Simplify right side
    35,198.94x = 936,507,989.04
  5. Step 5: Solve for x
    x = 936,507,989.04/35,198.94
  6. Step 6: Final answer
    x = 26,606.14

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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.