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Finding the Fourth Proportional to 35,410.50, 53,044.52 and 16,408.51

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Solution

The fourth proportional to 35,410.50, 53,044.52 and 16,408.51 is: 24,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,410.50 : 53,044.52 = 16,408.51 : x
  2. Step 2: Convert to fraction form
    35,410.50/53,044.52 = 16,408.51/x
  3. Step 3: Cross multiply
    35,410.50x = 53,044.52 × 16,408.51
  4. Step 4: Simplify right side
    35,410.50x = 870,381,414.51
  5. Step 5: Solve for x
    x = 870,381,414.51/35,410.50
  6. Step 6: Final answer
    x = 24,579.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.