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Finding the Fourth Proportional to 29,734.36, 44,608.92 and 11,966.20

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Solution

The fourth proportional to 29,734.36, 44,608.92 and 11,966.20 is: 17,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734.36 : 44,608.92 = 11,966.20 : x
  2. Step 2: Convert to fraction form
    29,734.36/44,608.92 = 11,966.20/x
  3. Step 3: Cross multiply
    29,734.36x = 44,608.92 × 11,966.20
  4. Step 4: Simplify right side
    29,734.36x = 533,799,258.50
  5. Step 5: Solve for x
    x = 533,799,258.50/29,734.36
  6. Step 6: Final answer
    x = 17,952.27

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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.