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Finding the Fourth Proportional to 72,471.76, 99,992.02 and 41,837.36

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Solution

The fourth proportional to 72,471.76, 99,992.02 and 41,837.36 is: 57,724.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,471.76 : 99,992.02 = 41,837.36 : x
  2. Step 2: Convert to fraction form
    72,471.76/99,992.02 = 41,837.36/x
  3. Step 3: Cross multiply
    72,471.76x = 99,992.02 × 41,837.36
  4. Step 4: Simplify right side
    72,471.76x = 4,183,402,137.87
  5. Step 5: Solve for x
    x = 4,183,402,137.87/72,471.76
  6. Step 6: Final answer
    x = 57,724.58

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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.