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Finding the Fourth Proportional to 82,806, 114,272.37 and 45,080.34

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Solution

The fourth proportional to 82,806, 114,272.37 and 45,080.34 is: 62,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,806 : 114,272.37 = 45,080.34 : x
  2. Step 2: Convert to fraction form
    82,806/114,272.37 = 45,080.34/x
  3. Step 3: Cross multiply
    82,806x = 114,272.37 × 45,080.34
  4. Step 4: Simplify right side
    82,806x = 5,151,437,292.21
  5. Step 5: Solve for x
    x = 5,151,437,292.21/82,806
  6. Step 6: Final answer
    x = 62,210.92

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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.