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Finding the Fourth Proportional to 81,981.40, 122,972.10 and 26,577.40

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Solution

The fourth proportional to 81,981.40, 122,972.10 and 26,577.40 is: 39,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,981.40 : 122,972.10 = 26,577.40 : x
  2. Step 2: Convert to fraction form
    81,981.40/122,972.10 = 26,577.40/x
  3. Step 3: Cross multiply
    81,981.40x = 122,972.10 × 26,577.40
  4. Step 4: Simplify right side
    81,981.40x = 3,268,278,690.54
  5. Step 5: Solve for x
    x = 3,268,278,690.54/81,981.40
  6. Step 6: Final answer
    x = 39,866.10

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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.