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Finding the Fourth Proportional to 58,382, 80,567.25 and 33,231.50

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Solution

The fourth proportional to 58,382, 80,567.25 and 33,231.50 is: 45,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,382 : 80,567.25 = 33,231.50 : x
  2. Step 2: Convert to fraction form
    58,382/80,567.25 = 33,231.50/x
  3. Step 3: Cross multiply
    58,382x = 80,567.25 × 33,231.50
  4. Step 4: Simplify right side
    58,382x = 2,677,370,568.38
  5. Step 5: Solve for x
    x = 2,677,370,568.38/58,382
  6. Step 6: Final answer
    x = 45,859.52

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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.