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Finding the Fourth Proportional to 27,097.89, 40,620.42 and 11,307.48

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Solution

The fourth proportional to 27,097.89, 40,620.42 and 11,307.48 is: 16,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.89 : 40,620.42 = 11,307.48 : x
  2. Step 2: Convert to fraction form
    27,097.89/40,620.42 = 11,307.48/x
  3. Step 3: Cross multiply
    27,097.89x = 40,620.42 × 11,307.48
  4. Step 4: Simplify right side
    27,097.89x = 459,314,586.74
  5. Step 5: Solve for x
    x = 459,314,586.74/27,097.89
  6. Step 6: Final answer
    x = 16,950.20

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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.