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Finding the Fourth Proportional to 73,203.30, 109,718.55 and 31,083.30

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Solution

The fourth proportional to 73,203.30, 109,718.55 and 31,083.30 is: 46,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,203.30 : 109,718.55 = 31,083.30 : x
  2. Step 2: Convert to fraction form
    73,203.30/109,718.55 = 31,083.30/x
  3. Step 3: Cross multiply
    73,203.30x = 109,718.55 × 31,083.30
  4. Step 4: Simplify right side
    73,203.30x = 3,410,414,605.22
  5. Step 5: Solve for x
    x = 3,410,414,605.22/73,203.30
  6. Step 6: Final answer
    x = 46,588.26

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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.