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Finding the Fourth Proportional to 29,829, 44,743.86 and 13,413

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Solution

The fourth proportional to 29,829, 44,743.86 and 13,413 is: 20,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829 : 44,743.86 = 13,413 : x
  2. Step 2: Convert to fraction form
    29,829/44,743.86 = 13,413/x
  3. Step 3: Cross multiply
    29,829x = 44,743.86 × 13,413
  4. Step 4: Simplify right side
    29,829x = 600,149,394.18
  5. Step 5: Solve for x
    x = 600,149,394.18/29,829
  6. Step 6: Final answer
    x = 20,119.66

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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.