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Finding the Fourth Proportional to 29,902, 41,264.76 and 17,334.04

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Solution

The fourth proportional to 29,902, 41,264.76 and 17,334.04 is: 23,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902 : 41,264.76 = 17,334.04 : x
  2. Step 2: Convert to fraction form
    29,902/41,264.76 = 17,334.04/x
  3. Step 3: Cross multiply
    29,902x = 41,264.76 × 17,334.04
  4. Step 4: Simplify right side
    29,902x = 715,285,000.43
  5. Step 5: Solve for x
    x = 715,285,000.43/29,902
  6. Step 6: Final answer
    x = 23,920.98

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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.