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Finding the Fourth Proportional to 39,258.38, 54,178 and 22,494.62

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Solution

The fourth proportional to 39,258.38, 54,178 and 22,494.62 is: 31,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,258.38 : 54,178 = 22,494.62 : x
  2. Step 2: Convert to fraction form
    39,258.38/54,178 = 22,494.62/x
  3. Step 3: Cross multiply
    39,258.38x = 54,178 × 22,494.62
  4. Step 4: Simplify right side
    39,258.38x = 1,218,713,522.36
  5. Step 5: Solve for x
    x = 1,218,713,522.36/39,258.38
  6. Step 6: Final answer
    x = 31,043.40

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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.