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Finding the Fourth Proportional to 58,232.70, 80,378.43 and 37,814.22

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Solution

The fourth proportional to 58,232.70, 80,378.43 and 37,814.22 is: 52,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,232.70 : 80,378.43 = 37,814.22 : x
  2. Step 2: Convert to fraction form
    58,232.70/80,378.43 = 37,814.22/x
  3. Step 3: Cross multiply
    58,232.70x = 80,378.43 × 37,814.22
  4. Step 4: Simplify right side
    58,232.70x = 3,039,447,635.27
  5. Step 5: Solve for x
    x = 3,039,447,635.27/58,232.70
  6. Step 6: Final answer
    x = 52,194.86

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1.5x scale

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.