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Finding the Fourth Proportional to 76,405.10, 105,443.80 and 44,141.06

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Solution

The fourth proportional to 76,405.10, 105,443.80 and 44,141.06 is: 60,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,405.10 : 105,443.80 = 44,141.06 : x
  2. Step 2: Convert to fraction form
    76,405.10/105,443.80 = 44,141.06/x
  3. Step 3: Cross multiply
    76,405.10x = 105,443.80 × 44,141.06
  4. Step 4: Simplify right side
    76,405.10x = 4,654,401,102.43
  5. Step 5: Solve for x
    x = 4,654,401,102.43/76,405.10
  6. Step 6: Final answer
    x = 60,917.41

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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.