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Finding the Fourth Proportional to 30,509.46, 45,771.48 and 15,717.24

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Solution

The fourth proportional to 30,509.46, 45,771.48 and 15,717.24 is: 23,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.46 : 45,771.48 = 15,717.24 : x
  2. Step 2: Convert to fraction form
    30,509.46/45,771.48 = 15,717.24/x
  3. Step 3: Cross multiply
    30,509.46x = 45,771.48 × 15,717.24
  4. Step 4: Simplify right side
    30,509.46x = 719,401,336.32
  5. Step 5: Solve for x
    x = 719,401,336.32/30,509.46
  6. Step 6: Final answer
    x = 23,579.62

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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.