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Finding the Fourth Proportional to 35,380.24, 48,824.10 and 19,464.58

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Solution

The fourth proportional to 35,380.24, 48,824.10 and 19,464.58 is: 26,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,380.24 : 48,824.10 = 19,464.58 : x
  2. Step 2: Convert to fraction form
    35,380.24/48,824.10 = 19,464.58/x
  3. Step 3: Cross multiply
    35,380.24x = 48,824.10 × 19,464.58
  4. Step 4: Simplify right side
    35,380.24x = 950,340,600.38
  5. Step 5: Solve for x
    x = 950,340,600.38/35,380.24
  6. Step 6: Final answer
    x = 26,860.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.