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Finding the Fourth Proportional to 37,142.28, 51,253.02 and 21,226.68

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Solution

The fourth proportional to 37,142.28, 51,253.02 and 21,226.68 is: 29,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.28 : 51,253.02 = 21,226.68 : x
  2. Step 2: Convert to fraction form
    37,142.28/51,253.02 = 21,226.68/x
  3. Step 3: Cross multiply
    37,142.28x = 51,253.02 × 21,226.68
  4. Step 4: Simplify right side
    37,142.28x = 1,087,931,454.57
  5. Step 5: Solve for x
    x = 1,087,931,454.57/37,142.28
  6. Step 6: Final answer
    x = 29,290.92

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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.