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Finding the Fourth Proportional to 37,847.36, 52,228.68 and 21,080

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Solution

The fourth proportional to 37,847.36, 52,228.68 and 21,080 is: 29,090.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,847.36 : 52,228.68 = 21,080 : x
  2. Step 2: Convert to fraction form
    37,847.36/52,228.68 = 21,080/x
  3. Step 3: Cross multiply
    37,847.36x = 52,228.68 × 21,080
  4. Step 4: Simplify right side
    37,847.36x = 1,100,980,574.40
  5. Step 5: Solve for x
    x = 1,100,980,574.40/37,847.36
  6. Step 6: Final answer
    x = 29,090.02

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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.