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Finding the Fourth Proportional to 34,945, 52,446.66 and 16,477

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Solution

The fourth proportional to 34,945, 52,446.66 and 16,477 is: 24,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,945 : 52,446.66 = 16,477 : x
  2. Step 2: Convert to fraction form
    34,945/52,446.66 = 16,477/x
  3. Step 3: Cross multiply
    34,945x = 52,446.66 × 16,477
  4. Step 4: Simplify right side
    34,945x = 864,163,616.82
  5. Step 5: Solve for x
    x = 864,163,616.82/34,945
  6. Step 6: Final answer
    x = 24,729.25

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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.