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Finding the Fourth Proportional to 37,827.30, 52,224.03 and 33,623.40

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Solution

The fourth proportional to 37,827.30, 52,224.03 and 33,623.40 is: 46,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,827.30 : 52,224.03 = 33,623.40 : x
  2. Step 2: Convert to fraction form
    37,827.30/52,224.03 = 33,623.40/x
  3. Step 3: Cross multiply
    37,827.30x = 52,224.03 × 33,623.40
  4. Step 4: Simplify right side
    37,827.30x = 1,755,949,450.30
  5. Step 5: Solve for x
    x = 1,755,949,450.30/37,827.30
  6. Step 6: Final answer
    x = 46,420.16

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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.