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Finding the Fourth Proportional to 37,812.36, 52,180.32 and 23,673

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Solution

The fourth proportional to 37,812.36, 52,180.32 and 23,673 is: 32,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,812.36 : 52,180.32 = 23,673 : x
  2. Step 2: Convert to fraction form
    37,812.36/52,180.32 = 23,673/x
  3. Step 3: Cross multiply
    37,812.36x = 52,180.32 × 23,673
  4. Step 4: Simplify right side
    37,812.36x = 1,235,264,715.36
  5. Step 5: Solve for x
    x = 1,235,264,715.36/37,812.36
  6. Step 6: Final answer
    x = 32,668.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.