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Finding the Fourth Proportional to 53,866.46, 80,674.40 and 51,997.70

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Solution

The fourth proportional to 53,866.46, 80,674.40 and 51,997.70 is: 77,875.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,866.46 : 80,674.40 = 51,997.70 : x
  2. Step 2: Convert to fraction form
    53,866.46/80,674.40 = 51,997.70/x
  3. Step 3: Cross multiply
    53,866.46x = 80,674.40 × 51,997.70
  4. Step 4: Simplify right side
    53,866.46x = 4,194,883,248.88
  5. Step 5: Solve for x
    x = 4,194,883,248.88/53,866.46
  6. Step 6: Final answer
    x = 77,875.61

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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.