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Finding the Fourth Proportional to 27,830.50, 41,748.18 and 7,054

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Solution

The fourth proportional to 27,830.50, 41,748.18 and 7,054 is: 10,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.50 : 41,748.18 = 7,054 : x
  2. Step 2: Convert to fraction form
    27,830.50/41,748.18 = 7,054/x
  3. Step 3: Cross multiply
    27,830.50x = 41,748.18 × 7,054
  4. Step 4: Simplify right side
    27,830.50x = 294,491,661.72
  5. Step 5: Solve for x
    x = 294,491,661.72/27,830.50
  6. Step 6: Final answer
    x = 10,581.62

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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.