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Finding the Fourth Proportional to 27,865.32, 41,950 and 25,415.88

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Solution

The fourth proportional to 27,865.32, 41,950 and 25,415.88 is: 38,262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.32 : 41,950 = 25,415.88 : x
  2. Step 2: Convert to fraction form
    27,865.32/41,950 = 25,415.88/x
  3. Step 3: Cross multiply
    27,865.32x = 41,950 × 25,415.88
  4. Step 4: Simplify right side
    27,865.32x = 1,066,196,166
  5. Step 5: Solve for x
    x = 1,066,196,166/27,865.32
  6. Step 6: Final answer
    x = 38,262.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.