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Finding the Fourth Proportional to 29,787.64, 44,664.38 and 12,243

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Solution

The fourth proportional to 29,787.64, 44,664.38 and 12,243 is: 18,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,787.64 : 44,664.38 = 12,243 : x
  2. Step 2: Convert to fraction form
    29,787.64/44,664.38 = 12,243/x
  3. Step 3: Cross multiply
    29,787.64x = 44,664.38 × 12,243
  4. Step 4: Simplify right side
    29,787.64x = 546,826,004.34
  5. Step 5: Solve for x
    x = 546,826,004.34/29,787.64
  6. Step 6: Final answer
    x = 18,357.48

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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.