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Finding the Fourth Proportional to 43,866.96, 65,758.68 and 14,263.98

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Solution

The fourth proportional to 43,866.96, 65,758.68 and 14,263.98 is: 21,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,866.96 : 65,758.68 = 14,263.98 : x
  2. Step 2: Convert to fraction form
    43,866.96/65,758.68 = 14,263.98/x
  3. Step 3: Cross multiply
    43,866.96x = 65,758.68 × 14,263.98
  4. Step 4: Simplify right side
    43,866.96x = 937,980,496.35
  5. Step 5: Solve for x
    x = 937,980,496.35/43,866.96
  6. Step 6: Final answer
    x = 21,382.39

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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.