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Finding the Fourth Proportional to 53,578.94, 80,381.78 and 37,814.77

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Solution

The fourth proportional to 53,578.94, 80,381.78 and 37,814.77 is: 56,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,578.94 : 80,381.78 = 37,814.77 : x
  2. Step 2: Convert to fraction form
    53,578.94/80,381.78 = 37,814.77/x
  3. Step 3: Cross multiply
    53,578.94x = 80,381.78 × 37,814.77
  4. Step 4: Simplify right side
    53,578.94x = 3,039,618,576.10
  5. Step 5: Solve for x
    x = 3,039,618,576.10/53,578.94
  6. Step 6: Final answer
    x = 56,731.59

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1.5x scale

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.