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Finding the Fourth Proportional to 43,776.32, 65,654.88 and 12,604.80

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Solution

The fourth proportional to 43,776.32, 65,654.88 and 12,604.80 is: 18,904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,776.32 : 65,654.88 = 12,604.80 : x
  2. Step 2: Convert to fraction form
    43,776.32/65,654.88 = 12,604.80/x
  3. Step 3: Cross multiply
    43,776.32x = 65,654.88 × 12,604.80
  4. Step 4: Simplify right side
    43,776.32x = 827,566,631.42
  5. Step 5: Solve for x
    x = 827,566,631.42/43,776.32
  6. Step 6: Final answer
    x = 18,904.44

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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.