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Finding the Fourth Proportional to 29,843.40, 44,765.10 and 14,038.61

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Solution

The fourth proportional to 29,843.40, 44,765.10 and 14,038.61 is: 21,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,843.40 : 44,765.10 = 14,038.61 : x
  2. Step 2: Convert to fraction form
    29,843.40/44,765.10 = 14,038.61/x
  3. Step 3: Cross multiply
    29,843.40x = 44,765.10 × 14,038.61
  4. Step 4: Simplify right side
    29,843.40x = 628,439,780.51
  5. Step 5: Solve for x
    x = 628,439,780.51/29,843.40
  6. Step 6: Final answer
    x = 21,057.92

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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.