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Finding the Fourth Proportional to 82,268.16, 123,408 and 40,704

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Solution

The fourth proportional to 82,268.16, 123,408 and 40,704 is: 61,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,268.16 : 123,408 = 40,704 : x
  2. Step 2: Convert to fraction form
    82,268.16/123,408 = 40,704/x
  3. Step 3: Cross multiply
    82,268.16x = 123,408 × 40,704
  4. Step 4: Simplify right side
    82,268.16x = 5,023,199,232
  5. Step 5: Solve for x
    x = 5,023,199,232/82,268.16
  6. Step 6: Final answer
    x = 61,058.85

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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.