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Finding the Fourth Proportional to 56,712.70, 84,939.45 and 33,384.70

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Solution

The fourth proportional to 56,712.70, 84,939.45 and 33,384.70 is: 50,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,712.70 : 84,939.45 = 33,384.70 : x
  2. Step 2: Convert to fraction form
    56,712.70/84,939.45 = 33,384.70/x
  3. Step 3: Cross multiply
    56,712.70x = 84,939.45 × 33,384.70
  4. Step 4: Simplify right side
    56,712.70x = 2,835,678,056.42
  5. Step 5: Solve for x
    x = 2,835,678,056.42/56,712.70
  6. Step 6: Final answer
    x = 50,000.76

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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.