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Finding the Fourth Proportional to 37,883.68, 52,214.16 and 28,435.84

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Solution

The fourth proportional to 37,883.68, 52,214.16 and 28,435.84 is: 39,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,883.68 : 52,214.16 = 28,435.84 : x
  2. Step 2: Convert to fraction form
    37,883.68/52,214.16 = 28,435.84/x
  3. Step 3: Cross multiply
    37,883.68x = 52,214.16 × 28,435.84
  4. Step 4: Simplify right side
    37,883.68x = 1,484,753,499.49
  5. Step 5: Solve for x
    x = 1,484,753,499.49/37,883.68
  6. Step 6: Final answer
    x = 39,192.43

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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.