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Finding the Fourth Proportional to 30,509.46, 45,735.03 and 19,388.57

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Solution

The fourth proportional to 30,509.46, 45,735.03 and 19,388.57 is: 29,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.46 : 45,735.03 = 19,388.57 : x
  2. Step 2: Convert to fraction form
    30,509.46/45,735.03 = 19,388.57/x
  3. Step 3: Cross multiply
    30,509.46x = 45,735.03 × 19,388.57
  4. Step 4: Simplify right side
    30,509.46x = 886,736,601.93
  5. Step 5: Solve for x
    x = 886,736,601.93/30,509.46
  6. Step 6: Final answer
    x = 29,064.32

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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.