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Finding the Fourth Proportional to 76,610.81, 105,722.92 and 43,076.81

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Solution

The fourth proportional to 76,610.81, 105,722.92 and 43,076.81 is: 59,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,610.81 : 105,722.92 = 43,076.81 : x
  2. Step 2: Convert to fraction form
    76,610.81/105,722.92 = 43,076.81/x
  3. Step 3: Cross multiply
    76,610.81x = 105,722.92 × 43,076.81
  4. Step 4: Simplify right side
    76,610.81x = 4,554,206,455.64
  5. Step 5: Solve for x
    x = 4,554,206,455.64/76,610.81
  6. Step 6: Final answer
    x = 59,446.00

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Why These Related Problems?

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