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Finding the Fourth Proportional to 82,623.52, 114,014.01 and 46,819.14

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Solution

The fourth proportional to 82,623.52, 114,014.01 and 46,819.14 is: 64,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,623.52 : 114,014.01 = 46,819.14 : x
  2. Step 2: Convert to fraction form
    82,623.52/114,014.01 = 46,819.14/x
  3. Step 3: Cross multiply
    82,623.52x = 114,014.01 × 46,819.14
  4. Step 4: Simplify right side
    82,623.52x = 5,338,037,896.15
  5. Step 5: Solve for x
    x = 5,338,037,896.15/82,623.52
  6. Step 6: Final answer
    x = 64,606.76

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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.