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Finding the Fourth Proportional to 82,427.39, 123,418.77 and 53,893.57

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Solution

The fourth proportional to 82,427.39, 123,418.77 and 53,893.57 is: 80,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,427.39 : 123,418.77 = 53,893.57 : x
  2. Step 2: Convert to fraction form
    82,427.39/123,418.77 = 53,893.57/x
  3. Step 3: Cross multiply
    82,427.39x = 123,418.77 × 53,893.57
  4. Step 4: Simplify right side
    82,427.39x = 6,651,478,937.17
  5. Step 5: Solve for x
    x = 6,651,478,937.17/82,427.39
  6. Step 6: Final answer
    x = 80,695.01

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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.