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Finding the Fourth Proportional to 43,065.54, 64,591 and 11,900.88

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Solution

The fourth proportional to 43,065.54, 64,591 and 11,900.88 is: 17,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,065.54 : 64,591 = 11,900.88 : x
  2. Step 2: Convert to fraction form
    43,065.54/64,591 = 11,900.88/x
  3. Step 3: Cross multiply
    43,065.54x = 64,591 × 11,900.88
  4. Step 4: Simplify right side
    43,065.54x = 768,689,740.08
  5. Step 5: Solve for x
    x = 768,689,740.08/43,065.54
  6. Step 6: Final answer
    x = 17,849.30

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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.