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Finding the Fourth Proportional to 43,770.91, 65,668.02 and 15,693.77

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Solution

The fourth proportional to 43,770.91, 65,668.02 and 15,693.77 is: 23,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,770.91 : 65,668.02 = 15,693.77 : x
  2. Step 2: Convert to fraction form
    43,770.91/65,668.02 = 15,693.77/x
  3. Step 3: Cross multiply
    43,770.91x = 65,668.02 × 15,693.77
  4. Step 4: Simplify right side
    43,770.91x = 1,030,578,802.24
  5. Step 5: Solve for x
    x = 1,030,578,802.24/43,770.91
  6. Step 6: Final answer
    x = 23,544.83

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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.