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Finding the Fourth Proportional to 76,233.84, 114,342.24 and 20,079.24

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Solution

The fourth proportional to 76,233.84, 114,342.24 and 20,079.24 is: 30,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,233.84 : 114,342.24 = 20,079.24 : x
  2. Step 2: Convert to fraction form
    76,233.84/114,342.24 = 20,079.24/x
  3. Step 3: Cross multiply
    76,233.84x = 114,342.24 × 20,079.24
  4. Step 4: Simplify right side
    76,233.84x = 2,295,905,279.10
  5. Step 5: Solve for x
    x = 2,295,905,279.10/76,233.84
  6. Step 6: Final answer
    x = 30,116.62

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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.