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Finding the Fourth Proportional to 82,405.29, 113,721.53 and 50,555.28

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Solution

The fourth proportional to 82,405.29, 113,721.53 and 50,555.28 is: 69,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.29 : 113,721.53 = 50,555.28 : x
  2. Step 2: Convert to fraction form
    82,405.29/113,721.53 = 50,555.28/x
  3. Step 3: Cross multiply
    82,405.29x = 113,721.53 × 50,555.28
  4. Step 4: Simplify right side
    82,405.29x = 5,749,223,538.40
  5. Step 5: Solve for x
    x = 5,749,223,538.40/82,405.29
  6. Step 6: Final answer
    x = 69,767.65

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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.