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Finding the Fourth Proportional to 29,486.52, 44,218.26 and 13,059

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Solution

The fourth proportional to 29,486.52, 44,218.26 and 13,059 is: 19,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,486.52 : 44,218.26 = 13,059 : x
  2. Step 2: Convert to fraction form
    29,486.52/44,218.26 = 13,059/x
  3. Step 3: Cross multiply
    29,486.52x = 44,218.26 × 13,059
  4. Step 4: Simplify right side
    29,486.52x = 577,446,257.34
  5. Step 5: Solve for x
    x = 577,446,257.34/29,486.52
  6. Step 6: Final answer
    x = 19,583.40

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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.