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Finding the Fourth Proportional to 37,897.46, 52,298.69 and 20,902.31

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Solution

The fourth proportional to 37,897.46, 52,298.69 and 20,902.31 is: 28,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897.46 : 52,298.69 = 20,902.31 : x
  2. Step 2: Convert to fraction form
    37,897.46/52,298.69 = 20,902.31/x
  3. Step 3: Cross multiply
    37,897.46x = 52,298.69 × 20,902.31
  4. Step 4: Simplify right side
    37,897.46x = 1,093,163,430.97
  5. Step 5: Solve for x
    x = 1,093,163,430.97/37,897.46
  6. Step 6: Final answer
    x = 28,845.30

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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.