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Finding the Fourth Proportional to 35,449, 53,173.50 and 10,825

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Solution

The fourth proportional to 35,449, 53,173.50 and 10,825 is: 16,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,449 : 53,173.50 = 10,825 : x
  2. Step 2: Convert to fraction form
    35,449/53,173.50 = 10,825/x
  3. Step 3: Cross multiply
    35,449x = 53,173.50 × 10,825
  4. Step 4: Simplify right side
    35,449x = 575,603,137.50
  5. Step 5: Solve for x
    x = 575,603,137.50/35,449
  6. Step 6: Final answer
    x = 16,237.50

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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.