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Finding the Fourth Proportional to 38,085.76, 57,144 and 17,288.32

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Solution

The fourth proportional to 38,085.76, 57,144 and 17,288.32 is: 25,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,085.76 : 57,144 = 17,288.32 : x
  2. Step 2: Convert to fraction form
    38,085.76/57,144 = 17,288.32/x
  3. Step 3: Cross multiply
    38,085.76x = 57,144 × 17,288.32
  4. Step 4: Simplify right side
    38,085.76x = 987,923,758.08
  5. Step 5: Solve for x
    x = 987,923,758.08/38,085.76
  6. Step 6: Final answer
    x = 25,939.45

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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.