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Finding the Fourth Proportional to 38,364.70, 52,951.45 and 25,782.16

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Solution

The fourth proportional to 38,364.70, 52,951.45 and 25,782.16 is: 35,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,364.70 : 52,951.45 = 25,782.16 : x
  2. Step 2: Convert to fraction form
    38,364.70/52,951.45 = 25,782.16/x
  3. Step 3: Cross multiply
    38,364.70x = 52,951.45 × 25,782.16
  4. Step 4: Simplify right side
    38,364.70x = 1,365,202,688.21
  5. Step 5: Solve for x
    x = 1,365,202,688.21/38,364.70
  6. Step 6: Final answer
    x = 35,584.87

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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.