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Finding the Fourth Proportional to 54,870.48, 82,292.94 and 15,431.40

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Solution

The fourth proportional to 54,870.48, 82,292.94 and 15,431.40 is: 23,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,870.48 : 82,292.94 = 15,431.40 : x
  2. Step 2: Convert to fraction form
    54,870.48/82,292.94 = 15,431.40/x
  3. Step 3: Cross multiply
    54,870.48x = 82,292.94 × 15,431.40
  4. Step 4: Simplify right side
    54,870.48x = 1,269,895,274.32
  5. Step 5: Solve for x
    x = 1,269,895,274.32/54,870.48
  6. Step 6: Final answer
    x = 23,143.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.