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Finding the Fourth Proportional to 29,782.74, 44,615.72 and 17,276.50

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Solution

The fourth proportional to 29,782.74, 44,615.72 and 17,276.50 is: 25,880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.74 : 44,615.72 = 17,276.50 : x
  2. Step 2: Convert to fraction form
    29,782.74/44,615.72 = 17,276.50/x
  3. Step 3: Cross multiply
    29,782.74x = 44,615.72 × 17,276.50
  4. Step 4: Simplify right side
    29,782.74x = 770,803,486.58
  5. Step 5: Solve for x
    x = 770,803,486.58/29,782.74
  6. Step 6: Final answer
    x = 25,880.88

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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.