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Finding the Fourth Proportional to 81,358.32, 122,041.80 and 25,950

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Solution

The fourth proportional to 81,358.32, 122,041.80 and 25,950 is: 38,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,358.32 : 122,041.80 = 25,950 : x
  2. Step 2: Convert to fraction form
    81,358.32/122,041.80 = 25,950/x
  3. Step 3: Cross multiply
    81,358.32x = 122,041.80 × 25,950
  4. Step 4: Simplify right side
    81,358.32x = 3,166,984,710
  5. Step 5: Solve for x
    x = 3,166,984,710/81,358.32
  6. Step 6: Final answer
    x = 38,926.38

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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.