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Finding the Fourth Proportional to 76,406.10, 105,445.18 and 44,142.06

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Solution

The fourth proportional to 76,406.10, 105,445.18 and 44,142.06 is: 60,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,406.10 : 105,445.18 = 44,142.06 : x
  2. Step 2: Convert to fraction form
    76,406.10/105,445.18 = 44,142.06/x
  3. Step 3: Cross multiply
    76,406.10x = 105,445.18 × 44,142.06
  4. Step 4: Simplify right side
    76,406.10x = 4,654,567,462.27
  5. Step 5: Solve for x
    x = 4,654,567,462.27/76,406.10
  6. Step 6: Final answer
    x = 60,918.79

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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.