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Finding the Fourth Proportional to 30,868.44, 46,302.72 and 7,494.84

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Solution

The fourth proportional to 30,868.44, 46,302.72 and 7,494.84 is: 11,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868.44 : 46,302.72 = 7,494.84 : x
  2. Step 2: Convert to fraction form
    30,868.44/46,302.72 = 7,494.84/x
  3. Step 3: Cross multiply
    30,868.44x = 46,302.72 × 7,494.84
  4. Step 4: Simplify right side
    30,868.44x = 347,031,477.96
  5. Step 5: Solve for x
    x = 347,031,477.96/30,868.44
  6. Step 6: Final answer
    x = 11,242.27

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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.