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Finding the Fourth Proportional to 37,280, 51,446.56 and 20,513.28

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Solution

The fourth proportional to 37,280, 51,446.56 and 20,513.28 is: 28,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,280 : 51,446.56 = 20,513.28 : x
  2. Step 2: Convert to fraction form
    37,280/51,446.56 = 20,513.28/x
  3. Step 3: Cross multiply
    37,280x = 51,446.56 × 20,513.28
  4. Step 4: Simplify right side
    37,280x = 1,055,337,690.32
  5. Step 5: Solve for x
    x = 1,055,337,690.32/37,280
  6. Step 6: Final answer
    x = 28,308.41

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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.