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Finding the Fourth Proportional to 56,825.84, 85,235.69 and 17,382.96

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Solution

The fourth proportional to 56,825.84, 85,235.69 and 17,382.96 is: 26,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,825.84 : 85,235.69 = 17,382.96 : x
  2. Step 2: Convert to fraction form
    56,825.84/85,235.69 = 17,382.96/x
  3. Step 3: Cross multiply
    56,825.84x = 85,235.69 × 17,382.96
  4. Step 4: Simplify right side
    56,825.84x = 1,481,648,633.30
  5. Step 5: Solve for x
    x = 1,481,648,633.30/56,825.84
  6. Step 6: Final answer
    x = 26,073.50

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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.