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Finding the Fourth Proportional to 43,740, 65,619.72 and 16,038

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Solution

The fourth proportional to 43,740, 65,619.72 and 16,038 is: 24,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,740 : 65,619.72 = 16,038 : x
  2. Step 2: Convert to fraction form
    43,740/65,619.72 = 16,038/x
  3. Step 3: Cross multiply
    43,740x = 65,619.72 × 16,038
  4. Step 4: Simplify right side
    43,740x = 1,052,409,069.36
  5. Step 5: Solve for x
    x = 1,052,409,069.36/43,740
  6. Step 6: Final answer
    x = 24,060.56

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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.