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Finding the Fourth Proportional to 27,349.95, 41,031.85 and 7,628.50

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Solution

The fourth proportional to 27,349.95, 41,031.85 and 7,628.50 is: 11,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,349.95 : 41,031.85 = 7,628.50 : x
  2. Step 2: Convert to fraction form
    27,349.95/41,031.85 = 7,628.50/x
  3. Step 3: Cross multiply
    27,349.95x = 41,031.85 × 7,628.50
  4. Step 4: Simplify right side
    27,349.95x = 313,011,283.44
  5. Step 5: Solve for x
    x = 313,011,283.44/27,349.95
  6. Step 6: Final answer
    x = 11,444.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.