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Finding the Fourth Proportional to 27,822, 41,732.96 and 7,047.12

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Solution

The fourth proportional to 27,822, 41,732.96 and 7,047.12 is: 10,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822 : 41,732.96 = 7,047.12 : x
  2. Step 2: Convert to fraction form
    27,822/41,732.96 = 7,047.12/x
  3. Step 3: Cross multiply
    27,822x = 41,732.96 × 7,047.12
  4. Step 4: Simplify right side
    27,822x = 294,097,177.08
  5. Step 5: Solve for x
    x = 294,097,177.08/27,822
  6. Step 6: Final answer
    x = 10,570.67

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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.