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Finding the Fourth Proportional to 35,410.64, 48,866.31 and 19,494.77

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Solution

The fourth proportional to 35,410.64, 48,866.31 and 19,494.77 is: 26,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,410.64 : 48,866.31 = 19,494.77 : x
  2. Step 2: Convert to fraction form
    35,410.64/48,866.31 = 19,494.77/x
  3. Step 3: Cross multiply
    35,410.64x = 48,866.31 × 19,494.77
  4. Step 4: Simplify right side
    35,410.64x = 952,637,229.87
  5. Step 5: Solve for x
    x = 952,637,229.87/35,410.64
  6. Step 6: Final answer
    x = 26,902.57

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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.