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Finding the Fourth Proportional to 37,154.16, 51,296.76 and 23,022

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Solution

The fourth proportional to 37,154.16, 51,296.76 and 23,022 is: 31,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,154.16 : 51,296.76 = 23,022 : x
  2. Step 2: Convert to fraction form
    37,154.16/51,296.76 = 23,022/x
  3. Step 3: Cross multiply
    37,154.16x = 51,296.76 × 23,022
  4. Step 4: Simplify right side
    37,154.16x = 1,180,954,008.72
  5. Step 5: Solve for x
    x = 1,180,954,008.72/37,154.16
  6. Step 6: Final answer
    x = 31,785.24

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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.