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Finding the Fourth Proportional to 35,505, 53,257.91 and 9,208.15

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Solution

The fourth proportional to 35,505, 53,257.91 and 9,208.15 is: 13,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,505 : 53,257.91 = 9,208.15 : x
  2. Step 2: Convert to fraction form
    35,505/53,257.91 = 9,208.15/x
  3. Step 3: Cross multiply
    35,505x = 53,257.91 × 9,208.15
  4. Step 4: Simplify right side
    35,505x = 490,406,644.78
  5. Step 5: Solve for x
    x = 490,406,644.78/35,505
  6. Step 6: Final answer
    x = 13,812.33

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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.