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Finding the Fourth Proportional to 76,497.81, 114,769.53 and 36,546.72

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Solution

The fourth proportional to 76,497.81, 114,769.53 and 36,546.72 is: 54,830.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,497.81 : 114,769.53 = 36,546.72 : x
  2. Step 2: Convert to fraction form
    76,497.81/114,769.53 = 36,546.72/x
  3. Step 3: Cross multiply
    76,497.81x = 114,769.53 × 36,546.72
  4. Step 4: Simplify right side
    76,497.81x = 4,194,449,877.44
  5. Step 5: Solve for x
    x = 4,194,449,877.44/76,497.81
  6. Step 6: Final answer
    x = 54,830.98

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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.