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Finding the Fourth Proportional to 82,858.92, 114,308.88 and 55,991.64

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Solution

The fourth proportional to 82,858.92, 114,308.88 and 55,991.64 is: 77,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,858.92 : 114,308.88 = 55,991.64 : x
  2. Step 2: Convert to fraction form
    82,858.92/114,308.88 = 55,991.64/x
  3. Step 3: Cross multiply
    82,858.92x = 114,308.88 × 55,991.64
  4. Step 4: Simplify right side
    82,858.92x = 6,400,341,657.76
  5. Step 5: Solve for x
    x = 6,400,341,657.76/82,858.92
  6. Step 6: Final answer
    x = 77,243.85

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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.