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Finding the Fourth Proportional to 29,672.78, 44,509.61 and 9,682.18

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Solution

The fourth proportional to 29,672.78, 44,509.61 and 9,682.18 is: 14,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672.78 : 44,509.61 = 9,682.18 : x
  2. Step 2: Convert to fraction form
    29,672.78/44,509.61 = 9,682.18/x
  3. Step 3: Cross multiply
    29,672.78x = 44,509.61 × 9,682.18
  4. Step 4: Simplify right side
    29,672.78x = 430,949,968.68
  5. Step 5: Solve for x
    x = 430,949,968.68/29,672.78
  6. Step 6: Final answer
    x = 14,523.41

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1.5x scale

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.