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Finding the Fourth Proportional to 35,946.39, 49,606.22 and 20,848

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Solution

The fourth proportional to 35,946.39, 49,606.22 and 20,848 is: 28,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,946.39 : 49,606.22 = 20,848 : x
  2. Step 2: Convert to fraction form
    35,946.39/49,606.22 = 20,848/x
  3. Step 3: Cross multiply
    35,946.39x = 49,606.22 × 20,848
  4. Step 4: Simplify right side
    35,946.39x = 1,034,190,370.32
  5. Step 5: Solve for x
    x = 1,034,190,370.32/35,946.39
  6. Step 6: Final answer
    x = 28,770.35

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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.