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Finding the Fourth Proportional to 35,675.49, 53,529.84 and 15,967.38

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Solution

The fourth proportional to 35,675.49, 53,529.84 and 15,967.38 is: 23,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.49 : 53,529.84 = 15,967.38 : x
  2. Step 2: Convert to fraction form
    35,675.49/53,529.84 = 15,967.38/x
  3. Step 3: Cross multiply
    35,675.49x = 53,529.84 × 15,967.38
  4. Step 4: Simplify right side
    35,675.49x = 854,731,296.62
  5. Step 5: Solve for x
    x = 854,731,296.62/35,675.49
  6. Step 6: Final answer
    x = 23,958.50

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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.