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Finding the Fourth Proportional to 76,016.34, 114,024.50 and 23,425.82

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Solution

The fourth proportional to 76,016.34, 114,024.50 and 23,425.82 is: 35,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,016.34 : 114,024.50 = 23,425.82 : x
  2. Step 2: Convert to fraction form
    76,016.34/114,024.50 = 23,425.82/x
  3. Step 3: Cross multiply
    76,016.34x = 114,024.50 × 23,425.82
  4. Step 4: Simplify right side
    76,016.34x = 2,671,117,412.59
  5. Step 5: Solve for x
    x = 2,671,117,412.59/76,016.34
  6. Step 6: Final answer
    x = 35,138.73

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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.