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Finding the Fourth Proportional to 73,693.86, 110,448.30 and 31,524.36

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Solution

The fourth proportional to 73,693.86, 110,448.30 and 31,524.36 is: 47,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,693.86 : 110,448.30 = 31,524.36 : x
  2. Step 2: Convert to fraction form
    73,693.86/110,448.30 = 31,524.36/x
  3. Step 3: Cross multiply
    73,693.86x = 110,448.30 × 31,524.36
  4. Step 4: Simplify right side
    73,693.86x = 3,481,811,970.59
  5. Step 5: Solve for x
    x = 3,481,811,970.59/73,693.86
  6. Step 6: Final answer
    x = 47,246.98

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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.