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Finding the Fourth Proportional to 35,737.46, 49,319.34 and 19,820.96

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Solution

The fourth proportional to 35,737.46, 49,319.34 and 19,820.96 is: 27,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737.46 : 49,319.34 = 19,820.96 : x
  2. Step 2: Convert to fraction form
    35,737.46/49,319.34 = 19,820.96/x
  3. Step 3: Cross multiply
    35,737.46x = 49,319.34 × 19,820.96
  4. Step 4: Simplify right side
    35,737.46x = 977,556,665.37
  5. Step 5: Solve for x
    x = 977,556,665.37/35,737.46
  6. Step 6: Final answer
    x = 27,353.84

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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.