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Finding the Fourth Proportional to 37,893.89, 52,298.45 and 31,509.50

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Solution

The fourth proportional to 37,893.89, 52,298.45 and 31,509.50 is: 43,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,893.89 : 52,298.45 = 31,509.50 : x
  2. Step 2: Convert to fraction form
    37,893.89/52,298.45 = 31,509.50/x
  3. Step 3: Cross multiply
    37,893.89x = 52,298.45 × 31,509.50
  4. Step 4: Simplify right side
    37,893.89x = 1,647,898,010.28
  5. Step 5: Solve for x
    x = 1,647,898,010.28/37,893.89
  6. Step 6: Final answer
    x = 43,487.17

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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.