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Finding the Fourth Proportional to 35,933.80, 53,928.96 and 24,918

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Solution

The fourth proportional to 35,933.80, 53,928.96 and 24,918 is: 37,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,933.80 : 53,928.96 = 24,918 : x
  2. Step 2: Convert to fraction form
    35,933.80/53,928.96 = 24,918/x
  3. Step 3: Cross multiply
    35,933.80x = 53,928.96 × 24,918
  4. Step 4: Simplify right side
    35,933.80x = 1,343,801,825.28
  5. Step 5: Solve for x
    x = 1,343,801,825.28/35,933.80
  6. Step 6: Final answer
    x = 37,396.60

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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.