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Finding the Fourth Proportional to 44,158.96, 66,238.44 and 25,678

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Solution

The fourth proportional to 44,158.96, 66,238.44 and 25,678 is: 38,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,158.96 : 66,238.44 = 25,678 : x
  2. Step 2: Convert to fraction form
    44,158.96/66,238.44 = 25,678/x
  3. Step 3: Cross multiply
    44,158.96x = 66,238.44 × 25,678
  4. Step 4: Simplify right side
    44,158.96x = 1,700,870,662.32
  5. Step 5: Solve for x
    x = 1,700,870,662.32/44,158.96
  6. Step 6: Final answer
    x = 38,517.00

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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.