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Finding the Fourth Proportional to 100,624.01, 150,941.18 and 25,744.80

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Solution

The fourth proportional to 100,624.01, 150,941.18 and 25,744.80 is: 38,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,624.01 : 150,941.18 = 25,744.80 : x
  2. Step 2: Convert to fraction form
    100,624.01/150,941.18 = 25,744.80/x
  3. Step 3: Cross multiply
    100,624.01x = 150,941.18 × 25,744.80
  4. Step 4: Simplify right side
    100,624.01x = 3,885,950,555.23
  5. Step 5: Solve for x
    x = 3,885,950,555.23/100,624.01
  6. Step 6: Final answer
    x = 38,618.52

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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.