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Finding the Fourth Proportional to 39,431.57, 54,415.51 and 25,284.38

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Solution

The fourth proportional to 39,431.57, 54,415.51 and 25,284.38 is: 34,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,431.57 : 54,415.51 = 25,284.38 : x
  2. Step 2: Convert to fraction form
    39,431.57/54,415.51 = 25,284.38/x
  3. Step 3: Cross multiply
    39,431.57x = 54,415.51 × 25,284.38
  4. Step 4: Simplify right side
    39,431.57x = 1,375,862,097.45
  5. Step 5: Solve for x
    x = 1,375,862,097.45/39,431.57
  6. Step 6: Final answer
    x = 34,892.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.