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Finding the Fourth Proportional to 29,940.96, 44,885.52 and 11,460

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Solution

The fourth proportional to 29,940.96, 44,885.52 and 11,460 is: 17,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,940.96 : 44,885.52 = 11,460 : x
  2. Step 2: Convert to fraction form
    29,940.96/44,885.52 = 11,460/x
  3. Step 3: Cross multiply
    29,940.96x = 44,885.52 × 11,460
  4. Step 4: Simplify right side
    29,940.96x = 514,388,059.20
  5. Step 5: Solve for x
    x = 514,388,059.20/29,940.96
  6. Step 6: Final answer
    x = 17,180.08

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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.