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Finding the Fourth Proportional to 35,665, 53,497.50 and 11,041

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Solution

The fourth proportional to 35,665, 53,497.50 and 11,041 is: 16,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,665 : 53,497.50 = 11,041 : x
  2. Step 2: Convert to fraction form
    35,665/53,497.50 = 11,041/x
  3. Step 3: Cross multiply
    35,665x = 53,497.50 × 11,041
  4. Step 4: Simplify right side
    35,665x = 590,665,897.50
  5. Step 5: Solve for x
    x = 590,665,897.50/35,665
  6. Step 6: Final answer
    x = 16,561.50

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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.