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Finding the Fourth Proportional to 82,064, 123,113.36 and 26,664.32

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Solution

The fourth proportional to 82,064, 123,113.36 and 26,664.32 is: 40,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,064 : 123,113.36 = 26,664.32 : x
  2. Step 2: Convert to fraction form
    82,064/123,113.36 = 26,664.32/x
  3. Step 3: Cross multiply
    82,064x = 123,113.36 × 26,664.32
  4. Step 4: Simplify right side
    82,064x = 3,282,734,027.32
  5. Step 5: Solve for x
    x = 3,282,734,027.32/82,064
  6. Step 6: Final answer
    x = 40,002.12

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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.