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Finding the Fourth Proportional to 38,782.48, 53,506.38 and 22,863.54

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Solution

The fourth proportional to 38,782.48, 53,506.38 and 22,863.54 is: 31,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782.48 : 53,506.38 = 22,863.54 : x
  2. Step 2: Convert to fraction form
    38,782.48/53,506.38 = 22,863.54/x
  3. Step 3: Cross multiply
    38,782.48x = 53,506.38 × 22,863.54
  4. Step 4: Simplify right side
    38,782.48x = 1,223,345,259.39
  5. Step 5: Solve for x
    x = 1,223,345,259.39/38,782.48
  6. Step 6: Final answer
    x = 31,543.76

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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.