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Finding the Fourth Proportional to 29,957.44, 44,941.92 and 11,488

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Solution

The fourth proportional to 29,957.44, 44,941.92 and 11,488 is: 17,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,957.44 : 44,941.92 = 11,488 : x
  2. Step 2: Convert to fraction form
    29,957.44/44,941.92 = 11,488/x
  3. Step 3: Cross multiply
    29,957.44x = 44,941.92 × 11,488
  4. Step 4: Simplify right side
    29,957.44x = 516,292,776.96
  5. Step 5: Solve for x
    x = 516,292,776.96/29,957.44
  6. Step 6: Final answer
    x = 17,234.21

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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.