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Finding the Fourth Proportional to 54,219.74, 74,823.62 and 30,348.63

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Solution

The fourth proportional to 54,219.74, 74,823.62 and 30,348.63 is: 41,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,219.74 : 74,823.62 = 30,348.63 : x
  2. Step 2: Convert to fraction form
    54,219.74/74,823.62 = 30,348.63/x
  3. Step 3: Cross multiply
    54,219.74x = 74,823.62 × 30,348.63
  4. Step 4: Simplify right side
    54,219.74x = 2,270,794,206.90
  5. Step 5: Solve for x
    x = 2,270,794,206.90/54,219.74
  6. Step 6: Final answer
    x = 41,881.32

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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.