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Finding the Fourth Proportional to 76,412.40, 114,630.12 and 23,826

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Solution

The fourth proportional to 76,412.40, 114,630.12 and 23,826 is: 35,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,412.40 : 114,630.12 = 23,826 : x
  2. Step 2: Convert to fraction form
    76,412.40/114,630.12 = 23,826/x
  3. Step 3: Cross multiply
    76,412.40x = 114,630.12 × 23,826
  4. Step 4: Simplify right side
    76,412.40x = 2,731,177,239.12
  5. Step 5: Solve for x
    x = 2,731,177,239.12/76,412.40
  6. Step 6: Final answer
    x = 35,742.59

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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.