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Finding the Fourth Proportional to 78,041.86, 117,018.09 and 23,992.48

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Solution

The fourth proportional to 78,041.86, 117,018.09 and 23,992.48 is: 35,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,041.86 : 117,018.09 = 23,992.48 : x
  2. Step 2: Convert to fraction form
    78,041.86/117,018.09 = 23,992.48/x
  3. Step 3: Cross multiply
    78,041.86x = 117,018.09 × 23,992.48
  4. Step 4: Simplify right side
    78,041.86x = 2,807,554,183.96
  5. Step 5: Solve for x
    x = 2,807,554,183.96/78,041.86
  6. Step 6: Final answer
    x = 35,974.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.