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Finding the Fourth Proportional to 29,896, 41,256.48 and 17,328.04

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Solution

The fourth proportional to 29,896, 41,256.48 and 17,328.04 is: 23,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,896 : 41,256.48 = 17,328.04 : x
  2. Step 2: Convert to fraction form
    29,896/41,256.48 = 17,328.04/x
  3. Step 3: Cross multiply
    29,896x = 41,256.48 × 17,328.04
  4. Step 4: Simplify right side
    29,896x = 714,893,935.70
  5. Step 5: Solve for x
    x = 714,893,935.70/29,896
  6. Step 6: Final answer
    x = 23,912.70

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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.