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Finding the Fourth Proportional to 84,772, 127,180.68 and 29,368

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Solution

The fourth proportional to 84,772, 127,180.68 and 29,368 is: 44,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,772 : 127,180.68 = 29,368 : x
  2. Step 2: Convert to fraction form
    84,772/127,180.68 = 29,368/x
  3. Step 3: Cross multiply
    84,772x = 127,180.68 × 29,368
  4. Step 4: Simplify right side
    84,772x = 3,735,042,210.24
  5. Step 5: Solve for x
    x = 3,735,042,210.24/84,772
  6. Step 6: Final answer
    x = 44,059.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.