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Finding the Fourth Proportional to 76,882.37, 106,097.72 and 42,890.86

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Solution

The fourth proportional to 76,882.37, 106,097.72 and 42,890.86 is: 59,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,882.37 : 106,097.72 = 42,890.86 : x
  2. Step 2: Convert to fraction form
    76,882.37/106,097.72 = 42,890.86/x
  3. Step 3: Cross multiply
    76,882.37x = 106,097.72 × 42,890.86
  4. Step 4: Simplify right side
    76,882.37x = 4,550,622,884.10
  5. Step 5: Solve for x
    x = 4,550,622,884.10/76,882.37
  6. Step 6: Final answer
    x = 59,189.42

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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.