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Finding the Fourth Proportional to 29,748, 44,622 and 11,280

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Solution

The fourth proportional to 29,748, 44,622 and 11,280 is: 16,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,748 : 44,622 = 11,280 : x
  2. Step 2: Convert to fraction form
    29,748/44,622 = 11,280/x
  3. Step 3: Cross multiply
    29,748x = 44,622 × 11,280
  4. Step 4: Simplify right side
    29,748x = 503,336,160
  5. Step 5: Solve for x
    x = 503,336,160/29,748
  6. Step 6: Final answer
    x = 16,920

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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.