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Finding the Fourth Proportional to 35,108.53, 52,651.86 and 11,729.50

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Solution

The fourth proportional to 35,108.53, 52,651.86 and 11,729.50 is: 17,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,108.53 : 52,651.86 = 11,729.50 : x
  2. Step 2: Convert to fraction form
    35,108.53/52,651.86 = 11,729.50/x
  3. Step 3: Cross multiply
    35,108.53x = 52,651.86 × 11,729.50
  4. Step 4: Simplify right side
    35,108.53x = 617,579,991.87
  5. Step 5: Solve for x
    x = 617,579,991.87/35,108.53
  6. Step 6: Final answer
    x = 17,590.60

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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.