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Finding the Fourth Proportional to 29,730, 41,026.16 and 17,800

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Solution

The fourth proportional to 29,730, 41,026.16 and 17,800 is: 24,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,730 : 41,026.16 = 17,800 : x
  2. Step 2: Convert to fraction form
    29,730/41,026.16 = 17,800/x
  3. Step 3: Cross multiply
    29,730x = 41,026.16 × 17,800
  4. Step 4: Simplify right side
    29,730x = 730,265,648.00
  5. Step 5: Solve for x
    x = 730,265,648.00/29,730
  6. Step 6: Final answer
    x = 24,563.26

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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.