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Finding the Fourth Proportional to 82,949.33, 114,472.78 and 46,657.08

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Solution

The fourth proportional to 82,949.33, 114,472.78 and 46,657.08 is: 64,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,949.33 : 114,472.78 = 46,657.08 : x
  2. Step 2: Convert to fraction form
    82,949.33/114,472.78 = 46,657.08/x
  3. Step 3: Cross multiply
    82,949.33x = 114,472.78 × 46,657.08
  4. Step 4: Simplify right side
    82,949.33x = 5,340,965,537.64
  5. Step 5: Solve for x
    x = 5,340,965,537.64/82,949.33
  6. Step 6: Final answer
    x = 64,388.29

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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.