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Finding the Fourth Proportional to 82,476.52, 113,817.60 and 46,665.76

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Solution

The fourth proportional to 82,476.52, 113,817.60 and 46,665.76 is: 64,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,476.52 : 113,817.60 = 46,665.76 : x
  2. Step 2: Convert to fraction form
    82,476.52/113,817.60 = 46,665.76/x
  3. Step 3: Cross multiply
    82,476.52x = 113,817.60 × 46,665.76
  4. Step 4: Simplify right side
    82,476.52x = 5,311,384,805.38
  5. Step 5: Solve for x
    x = 5,311,384,805.38/82,476.52
  6. Step 6: Final answer
    x = 64,398.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.