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Finding the Fourth Proportional to 29,920, 44,886.48 and 11,452

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Solution

The fourth proportional to 29,920, 44,886.48 and 11,452 is: 17,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,920 : 44,886.48 = 11,452 : x
  2. Step 2: Convert to fraction form
    29,920/44,886.48 = 11,452/x
  3. Step 3: Cross multiply
    29,920x = 44,886.48 × 11,452
  4. Step 4: Simplify right side
    29,920x = 514,039,968.96
  5. Step 5: Solve for x
    x = 514,039,968.96/29,920
  6. Step 6: Final answer
    x = 17,180.48

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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.