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Finding the Fourth Proportional to 32,401.30, 48,616.06 and 11,356.48

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Solution

The fourth proportional to 32,401.30, 48,616.06 and 11,356.48 is: 17,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401.30 : 48,616.06 = 11,356.48 : x
  2. Step 2: Convert to fraction form
    32,401.30/48,616.06 = 11,356.48/x
  3. Step 3: Cross multiply
    32,401.30x = 48,616.06 × 11,356.48
  4. Step 4: Simplify right side
    32,401.30x = 552,107,313.07
  5. Step 5: Solve for x
    x = 552,107,313.07/32,401.30
  6. Step 6: Final answer
    x = 17,039.67

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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.