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Finding the Fourth Proportional to 82,663.45, 114,078.51 and 50,826.20

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Solution

The fourth proportional to 82,663.45, 114,078.51 and 50,826.20 is: 70,141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,663.45 : 114,078.51 = 50,826.20 : x
  2. Step 2: Convert to fraction form
    82,663.45/114,078.51 = 50,826.20/x
  3. Step 3: Cross multiply
    82,663.45x = 114,078.51 × 50,826.20
  4. Step 4: Simplify right side
    82,663.45x = 5,798,176,594.57
  5. Step 5: Solve for x
    x = 5,798,176,594.57/82,663.45
  6. Step 6: Final answer
    x = 70,141.96

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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.