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Finding the Fourth Proportional to 72,883.29, 100,578.51 and 41,062.44

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Solution

The fourth proportional to 72,883.29, 100,578.51 and 41,062.44 is: 56,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,883.29 : 100,578.51 = 41,062.44 : x
  2. Step 2: Convert to fraction form
    72,883.29/100,578.51 = 41,062.44/x
  3. Step 3: Cross multiply
    72,883.29x = 100,578.51 × 41,062.44
  4. Step 4: Simplify right side
    72,883.29x = 4,129,999,032.16
  5. Step 5: Solve for x
    x = 4,129,999,032.16/72,883.29
  6. Step 6: Final answer
    x = 56,665.92

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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.