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Finding the Fourth Proportional to 72,834.54, 100,513.54 and 41,004.57

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Solution

The fourth proportional to 72,834.54, 100,513.54 and 41,004.57 is: 56,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,834.54 : 100,513.54 = 41,004.57 : x
  2. Step 2: Convert to fraction form
    72,834.54/100,513.54 = 41,004.57/x
  3. Step 3: Cross multiply
    72,834.54x = 100,513.54 × 41,004.57
  4. Step 4: Simplify right side
    72,834.54x = 4,121,514,486.88
  5. Step 5: Solve for x
    x = 4,121,514,486.88/72,834.54
  6. Step 6: Final answer
    x = 56,587.36

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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.