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Finding the Fourth Proportional to 82,125.01, 123,205.97 and 29,534.50

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Solution

The fourth proportional to 82,125.01, 123,205.97 and 29,534.50 is: 44,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,125.01 : 123,205.97 = 29,534.50 : x
  2. Step 2: Convert to fraction form
    82,125.01/123,205.97 = 29,534.50/x
  3. Step 3: Cross multiply
    82,125.01x = 123,205.97 × 29,534.50
  4. Step 4: Simplify right side
    82,125.01x = 3,638,826,720.97
  5. Step 5: Solve for x
    x = 3,638,826,720.97/82,125.01
  6. Step 6: Final answer
    x = 44,308.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.