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Finding the Fourth Proportional to 29,409.94, 44,090.10 and 12,757.43

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Solution

The fourth proportional to 29,409.94, 44,090.10 and 12,757.43 is: 19,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,409.94 : 44,090.10 = 12,757.43 : x
  2. Step 2: Convert to fraction form
    29,409.94/44,090.10 = 12,757.43/x
  3. Step 3: Cross multiply
    29,409.94x = 44,090.10 × 12,757.43
  4. Step 4: Simplify right side
    29,409.94x = 562,476,364.44
  5. Step 5: Solve for x
    x = 562,476,364.44/29,409.94
  6. Step 6: Final answer
    x = 19,125.38

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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.