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Finding the Fourth Proportional to 69,912.34, 104,811.10 and 27,774.32

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Solution

The fourth proportional to 69,912.34, 104,811.10 and 27,774.32 is: 41,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,912.34 : 104,811.10 = 27,774.32 : x
  2. Step 2: Convert to fraction form
    69,912.34/104,811.10 = 27,774.32/x
  3. Step 3: Cross multiply
    69,912.34x = 104,811.10 × 27,774.32
  4. Step 4: Simplify right side
    69,912.34x = 2,911,056,437.46
  5. Step 5: Solve for x
    x = 2,911,056,437.46/69,912.34
  6. Step 6: Final answer
    x = 41,638.67

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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.