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Finding the Fourth Proportional to 36,033, 54,049.74 and 11,409

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Solution

The fourth proportional to 36,033, 54,049.74 and 11,409 is: 17,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,033 : 54,049.74 = 11,409 : x
  2. Step 2: Convert to fraction form
    36,033/54,049.74 = 11,409/x
  3. Step 3: Cross multiply
    36,033x = 54,049.74 × 11,409
  4. Step 4: Simplify right side
    36,033x = 616,653,483.66
  5. Step 5: Solve for x
    x = 616,653,483.66/36,033
  6. Step 6: Final answer
    x = 17,113.58

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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.