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Finding the Fourth Proportional to 73,523.75, 110,285.64 and 31,970.75

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Solution

The fourth proportional to 73,523.75, 110,285.64 and 31,970.75 is: 47,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,523.75 : 110,285.64 = 31,970.75 : x
  2. Step 2: Convert to fraction form
    73,523.75/110,285.64 = 31,970.75/x
  3. Step 3: Cross multiply
    73,523.75x = 110,285.64 × 31,970.75
  4. Step 4: Simplify right side
    73,523.75x = 3,525,914,625.03
  5. Step 5: Solve for x
    x = 3,525,914,625.03/73,523.75
  6. Step 6: Final answer
    x = 47,956.13

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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.