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Finding the Fourth Proportional to 43,614, 65,423.16 and 14,029.56

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Solution

The fourth proportional to 43,614, 65,423.16 and 14,029.56 is: 21,045.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,614 : 65,423.16 = 14,029.56 : x
  2. Step 2: Convert to fraction form
    43,614/65,423.16 = 14,029.56/x
  3. Step 3: Cross multiply
    43,614x = 65,423.16 × 14,029.56
  4. Step 4: Simplify right side
    43,614x = 917,858,148.61
  5. Step 5: Solve for x
    x = 917,858,148.61/43,614
  6. Step 6: Final answer
    x = 21,045.03

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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.