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Finding the Fourth Proportional to 58,205.32, 80,323.30 and 32,711.80

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Solution

The fourth proportional to 58,205.32, 80,323.30 and 32,711.80 is: 45,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,205.32 : 80,323.30 = 32,711.80 : x
  2. Step 2: Convert to fraction form
    58,205.32/80,323.30 = 32,711.80/x
  3. Step 3: Cross multiply
    58,205.32x = 80,323.30 × 32,711.80
  4. Step 4: Simplify right side
    58,205.32x = 2,627,519,724.94
  5. Step 5: Solve for x
    x = 2,627,519,724.94/58,205.32
  6. Step 6: Final answer
    x = 45,142.26

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