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Finding the Fourth Proportional to 82,446, 113,775.49 and 46,635.24

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Solution

The fourth proportional to 82,446, 113,775.49 and 46,635.24 is: 64,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,446 : 113,775.49 = 46,635.24 : x
  2. Step 2: Convert to fraction form
    82,446/113,775.49 = 46,635.24/x
  3. Step 3: Cross multiply
    82,446x = 113,775.49 × 46,635.24
  4. Step 4: Simplify right side
    82,446x = 5,305,947,282.27
  5. Step 5: Solve for x
    x = 5,305,947,282.27/82,446
  6. Step 6: Final answer
    x = 64,356.64

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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.