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Finding the Fourth Proportional to 49,268.16, 67,989.76 and 26,912

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Solution

The fourth proportional to 49,268.16, 67,989.76 and 26,912 is: 37,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,268.16 : 67,989.76 = 26,912 : x
  2. Step 2: Convert to fraction form
    49,268.16/67,989.76 = 26,912/x
  3. Step 3: Cross multiply
    49,268.16x = 67,989.76 × 26,912
  4. Step 4: Simplify right side
    49,268.16x = 1,829,740,421.12
  5. Step 5: Solve for x
    x = 1,829,740,421.12/49,268.16
  6. Step 6: Final answer
    x = 37,138.40

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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.