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Finding the Fourth Proportional to 29,577.64, 44,366.46 and 17,257

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Solution

The fourth proportional to 29,577.64, 44,366.46 and 17,257 is: 25,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,577.64 : 44,366.46 = 17,257 : x
  2. Step 2: Convert to fraction form
    29,577.64/44,366.46 = 17,257/x
  3. Step 3: Cross multiply
    29,577.64x = 44,366.46 × 17,257
  4. Step 4: Simplify right side
    29,577.64x = 765,632,000.22
  5. Step 5: Solve for x
    x = 765,632,000.22/29,577.64
  6. Step 6: Final answer
    x = 25,885.50

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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.