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Finding the Fourth Proportional to 35,735.58, 53,586 and 10,770.99

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Solution

The fourth proportional to 35,735.58, 53,586 and 10,770.99 is: 16,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,735.58 : 53,586 = 10,770.99 : x
  2. Step 2: Convert to fraction form
    35,735.58/53,586 = 10,770.99/x
  3. Step 3: Cross multiply
    35,735.58x = 53,586 × 10,770.99
  4. Step 4: Simplify right side
    35,735.58x = 577,174,270.14
  5. Step 5: Solve for x
    x = 577,174,270.14/35,735.58
  6. Step 6: Final answer
    x = 16,151.25

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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.