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Finding the Fourth Proportional to 37,154.66, 51,297.45 and 23,022.50

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Solution

The fourth proportional to 37,154.66, 51,297.45 and 23,022.50 is: 31,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,154.66 : 51,297.45 = 23,022.50 : x
  2. Step 2: Convert to fraction form
    37,154.66/51,297.45 = 23,022.50/x
  3. Step 3: Cross multiply
    37,154.66x = 51,297.45 × 23,022.50
  4. Step 4: Simplify right side
    37,154.66x = 1,180,995,542.63
  5. Step 5: Solve for x
    x = 1,180,995,542.63/37,154.66
  6. Step 6: Final answer
    x = 31,785.93

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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.