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Finding the Fourth Proportional to 82,618.77, 114,014.28 and 46,815.76

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Solution

The fourth proportional to 82,618.77, 114,014.28 and 46,815.76 is: 64,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,618.77 : 114,014.28 = 46,815.76 : x
  2. Step 2: Convert to fraction form
    82,618.77/114,014.28 = 46,815.76/x
  3. Step 3: Cross multiply
    82,618.77x = 114,014.28 × 46,815.76
  4. Step 4: Simplify right side
    82,618.77x = 5,337,665,169.05
  5. Step 5: Solve for x
    x = 5,337,665,169.05/82,618.77
  6. Step 6: Final answer
    x = 64,605.96

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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.