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Finding the Fourth Proportional to 32,813.54, 49,221 and 11,754.95

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Solution

The fourth proportional to 32,813.54, 49,221 and 11,754.95 is: 17,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,813.54 : 49,221 = 11,754.95 : x
  2. Step 2: Convert to fraction form
    32,813.54/49,221 = 11,754.95/x
  3. Step 3: Cross multiply
    32,813.54x = 49,221 × 11,754.95
  4. Step 4: Simplify right side
    32,813.54x = 578,590,147.85
  5. Step 5: Solve for x
    x = 578,590,147.85/32,813.54
  6. Step 6: Final answer
    x = 17,632.67

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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.