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Finding the Fourth Proportional to 82,114.51, 113,339.37 and 53,512.60

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Solution

The fourth proportional to 82,114.51, 113,339.37 and 53,512.60 is: 73,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,114.51 : 113,339.37 = 53,512.60 : x
  2. Step 2: Convert to fraction form
    82,114.51/113,339.37 = 53,512.60/x
  3. Step 3: Cross multiply
    82,114.51x = 113,339.37 × 53,512.60
  4. Step 4: Simplify right side
    82,114.51x = 6,065,084,371.06
  5. Step 5: Solve for x
    x = 6,065,084,371.06/82,114.51
  6. Step 6: Final answer
    x = 73,861.30

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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.