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Finding the Fourth Proportional to 73,783.72, 110,661.90 and 31,671.28

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Solution

The fourth proportional to 73,783.72, 110,661.90 and 31,671.28 is: 47,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,783.72 : 110,661.90 = 31,671.28 : x
  2. Step 2: Convert to fraction form
    73,783.72/110,661.90 = 31,671.28/x
  3. Step 3: Cross multiply
    73,783.72x = 110,661.90 × 31,671.28
  4. Step 4: Simplify right side
    73,783.72x = 3,504,804,020.23
  5. Step 5: Solve for x
    x = 3,504,804,020.23/73,783.72
  6. Step 6: Final answer
    x = 47,501.05

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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.