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Finding the Fourth Proportional to 29,758, 44,643.48 and 11,290

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Solution

The fourth proportional to 29,758, 44,643.48 and 11,290 is: 16,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758 : 44,643.48 = 11,290 : x
  2. Step 2: Convert to fraction form
    29,758/44,643.48 = 11,290/x
  3. Step 3: Cross multiply
    29,758x = 44,643.48 × 11,290
  4. Step 4: Simplify right side
    29,758x = 504,024,889.20
  5. Step 5: Solve for x
    x = 504,024,889.20/29,758
  6. Step 6: Final answer
    x = 16,937.46

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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.