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Finding the Fourth Proportional to 82,203.51, 123,305.27 and 34,826.07

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Solution

The fourth proportional to 82,203.51, 123,305.27 and 34,826.07 is: 52,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,203.51 : 123,305.27 = 34,826.07 : x
  2. Step 2: Convert to fraction form
    82,203.51/123,305.27 = 34,826.07/x
  3. Step 3: Cross multiply
    82,203.51x = 123,305.27 × 34,826.07
  4. Step 4: Simplify right side
    82,203.51x = 4,294,237,790.26
  5. Step 5: Solve for x
    x = 4,294,237,790.26/82,203.51
  6. Step 6: Final answer
    x = 52,239.11

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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.