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Finding the Fourth Proportional to 37,224.84, 51,370.02 and 20,458.20

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Solution

The fourth proportional to 37,224.84, 51,370.02 and 20,458.20 is: 28,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,224.84 : 51,370.02 = 20,458.20 : x
  2. Step 2: Convert to fraction form
    37,224.84/51,370.02 = 20,458.20/x
  3. Step 3: Cross multiply
    37,224.84x = 51,370.02 × 20,458.20
  4. Step 4: Simplify right side
    37,224.84x = 1,050,938,143.16
  5. Step 5: Solve for x
    x = 1,050,938,143.16/37,224.84
  6. Step 6: Final answer
    x = 28,232.17

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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.