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Finding the Fourth Proportional to 53,134.70, 73,323 and 30,472.61

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Solution

The fourth proportional to 53,134.70, 73,323 and 30,472.61 is: 42,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,134.70 : 73,323 = 30,472.61 : x
  2. Step 2: Convert to fraction form
    53,134.70/73,323 = 30,472.61/x
  3. Step 3: Cross multiply
    53,134.70x = 73,323 × 30,472.61
  4. Step 4: Simplify right side
    53,134.70x = 2,234,342,816.42
  5. Step 5: Solve for x
    x = 2,234,342,816.42/53,134.70
  6. Step 6: Final answer
    x = 42,050.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.