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Finding the Fourth Proportional to 35,995, 54,001.16 and 11,371

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Solution

The fourth proportional to 35,995, 54,001.16 and 11,371 is: 17,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,995 : 54,001.16 = 11,371 : x
  2. Step 2: Convert to fraction form
    35,995/54,001.16 = 11,371/x
  3. Step 3: Cross multiply
    35,995x = 54,001.16 × 11,371
  4. Step 4: Simplify right side
    35,995x = 614,047,190.36
  5. Step 5: Solve for x
    x = 614,047,190.36/35,995
  6. Step 6: Final answer
    x = 17,059.24

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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.