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Finding the Fourth Proportional to 35,114.24, 48,448.32 and 21,509.48

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Solution

The fourth proportional to 35,114.24, 48,448.32 and 21,509.48 is: 29,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,114.24 : 48,448.32 = 21,509.48 : x
  2. Step 2: Convert to fraction form
    35,114.24/48,448.32 = 21,509.48/x
  3. Step 3: Cross multiply
    35,114.24x = 48,448.32 × 21,509.48
  4. Step 4: Simplify right side
    35,114.24x = 1,042,098,170.07
  5. Step 5: Solve for x
    x = 1,042,098,170.07/35,114.24
  6. Step 6: Final answer
    x = 29,677.37

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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.