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Finding the Fourth Proportional to 35,872.92, 53,808.84 and 16,137.54

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Solution

The fourth proportional to 35,872.92, 53,808.84 and 16,137.54 is: 24,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,872.92 : 53,808.84 = 16,137.54 : x
  2. Step 2: Convert to fraction form
    35,872.92/53,808.84 = 16,137.54/x
  3. Step 3: Cross multiply
    35,872.92x = 53,808.84 × 16,137.54
  4. Step 4: Simplify right side
    35,872.92x = 868,342,307.85
  5. Step 5: Solve for x
    x = 868,342,307.85/35,872.92
  6. Step 6: Final answer
    x = 24,206.07

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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.