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Finding the Fourth Proportional to 82,439, 113,765.83 and 46,628.24

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Solution

The fourth proportional to 82,439, 113,765.83 and 46,628.24 is: 64,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,439 : 113,765.83 = 46,628.24 : x
  2. Step 2: Convert to fraction form
    82,439/113,765.83 = 46,628.24/x
  3. Step 3: Cross multiply
    82,439x = 113,765.83 × 46,628.24
  4. Step 4: Simplify right side
    82,439x = 5,304,700,308.47
  5. Step 5: Solve for x
    x = 5,304,700,308.47/82,439
  6. Step 6: Final answer
    x = 64,346.98

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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.