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Finding the Fourth Proportional to 76,638.54, 105,760.17 and 43,104.54

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Solution

The fourth proportional to 76,638.54, 105,760.17 and 43,104.54 is: 59,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,638.54 : 105,760.17 = 43,104.54 : x
  2. Step 2: Convert to fraction form
    76,638.54/105,760.17 = 43,104.54/x
  3. Step 3: Cross multiply
    76,638.54x = 105,760.17 × 43,104.54
  4. Step 4: Simplify right side
    76,638.54x = 4,558,743,478.17
  5. Step 5: Solve for x
    x = 4,558,743,478.17/76,638.54
  6. Step 6: Final answer
    x = 59,483.69

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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.