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Finding the Fourth Proportional to 27,301, 40,957.26 and 10,885

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Solution

The fourth proportional to 27,301, 40,957.26 and 10,885 is: 16,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,301 : 40,957.26 = 10,885 : x
  2. Step 2: Convert to fraction form
    27,301/40,957.26 = 10,885/x
  3. Step 3: Cross multiply
    27,301x = 40,957.26 × 10,885
  4. Step 4: Simplify right side
    27,301x = 445,819,775.10
  5. Step 5: Solve for x
    x = 445,819,775.10/27,301
  6. Step 6: Final answer
    x = 16,329.80

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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.