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Finding the Fourth Proportional to 35,657.06, 49,212 and 20,546.84

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Solution

The fourth proportional to 35,657.06, 49,212 and 20,546.84 is: 28,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,657.06 : 49,212 = 20,546.84 : x
  2. Step 2: Convert to fraction form
    35,657.06/49,212 = 20,546.84/x
  3. Step 3: Cross multiply
    35,657.06x = 49,212 × 20,546.84
  4. Step 4: Simplify right side
    35,657.06x = 1,011,151,090.08
  5. Step 5: Solve for x
    x = 1,011,151,090.08/35,657.06
  6. Step 6: Final answer
    x = 28,357.67

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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.