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Finding the Fourth Proportional to 34,902.24, 48,165.84 and 19,998.24

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Solution

The fourth proportional to 34,902.24, 48,165.84 and 19,998.24 is: 27,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,902.24 : 48,165.84 = 19,998.24 : x
  2. Step 2: Convert to fraction form
    34,902.24/48,165.84 = 19,998.24/x
  3. Step 3: Cross multiply
    34,902.24x = 48,165.84 × 19,998.24
  4. Step 4: Simplify right side
    34,902.24x = 963,232,028.12
  5. Step 5: Solve for x
    x = 963,232,028.12/34,902.24
  6. Step 6: Final answer
    x = 27,598.00

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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.