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Finding the Fourth Proportional to 58,206.32, 80,324.68 and 32,712.80

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Solution

The fourth proportional to 58,206.32, 80,324.68 and 32,712.80 is: 45,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,206.32 : 80,324.68 = 32,712.80 : x
  2. Step 2: Convert to fraction form
    58,206.32/80,324.68 = 32,712.80/x
  3. Step 3: Cross multiply
    58,206.32x = 80,324.68 × 32,712.80
  4. Step 4: Simplify right side
    58,206.32x = 2,627,645,191.90
  5. Step 5: Solve for x
    x = 2,627,645,191.90/58,206.32
  6. Step 6: Final answer
    x = 45,143.64

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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.