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Finding the Fourth Proportional to 54,048, 74,580.17 and 31,384.20

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Solution

The fourth proportional to 54,048, 74,580.17 and 31,384.20 is: 43,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,048 : 74,580.17 = 31,384.20 : x
  2. Step 2: Convert to fraction form
    54,048/74,580.17 = 31,384.20/x
  3. Step 3: Cross multiply
    54,048x = 74,580.17 × 31,384.20
  4. Step 4: Simplify right side
    54,048x = 2,340,638,814.39
  5. Step 5: Solve for x
    x = 2,340,638,814.39/54,048
  6. Step 6: Final answer
    x = 43,306.67

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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.