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Finding the Fourth Proportional to 35,897.76, 49,539.38 and 19,766.96

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Solution

The fourth proportional to 35,897.76, 49,539.38 and 19,766.96 is: 27,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.76 : 49,539.38 = 19,766.96 : x
  2. Step 2: Convert to fraction form
    35,897.76/49,539.38 = 19,766.96/x
  3. Step 3: Cross multiply
    35,897.76x = 49,539.38 × 19,766.96
  4. Step 4: Simplify right side
    35,897.76x = 979,242,942.88
  5. Step 5: Solve for x
    x = 979,242,942.88/35,897.76
  6. Step 6: Final answer
    x = 27,278.66

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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.