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Finding the Fourth Proportional to 30,412.50, 41,961.78 and 18,475.14

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Solution

The fourth proportional to 30,412.50, 41,961.78 and 18,475.14 is: 25,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.50 : 41,961.78 = 18,475.14 : x
  2. Step 2: Convert to fraction form
    30,412.50/41,961.78 = 18,475.14/x
  3. Step 3: Cross multiply
    30,412.50x = 41,961.78 × 18,475.14
  4. Step 4: Simplify right side
    30,412.50x = 775,249,760.15
  5. Step 5: Solve for x
    x = 775,249,760.15/30,412.50
  6. Step 6: Final answer
    x = 25,491.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.