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Finding the Fourth Proportional to 76,592.64, 114,771.60 and 51,540

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Solution

The fourth proportional to 76,592.64, 114,771.60 and 51,540 is: 77,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,592.64 : 114,771.60 = 51,540 : x
  2. Step 2: Convert to fraction form
    76,592.64/114,771.60 = 51,540/x
  3. Step 3: Cross multiply
    76,592.64x = 114,771.60 × 51,540
  4. Step 4: Simplify right side
    76,592.64x = 5,915,328,264
  5. Step 5: Solve for x
    x = 5,915,328,264/76,592.64
  6. Step 6: Final answer
    x = 77,231.03

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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.