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Finding the Fourth Proportional to 55,773.88, 83,605.46 and 30,825.67

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Solution

The fourth proportional to 55,773.88, 83,605.46 and 30,825.67 is: 46,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,773.88 : 83,605.46 = 30,825.67 : x
  2. Step 2: Convert to fraction form
    55,773.88/83,605.46 = 30,825.67/x
  3. Step 3: Cross multiply
    55,773.88x = 83,605.46 × 30,825.67
  4. Step 4: Simplify right side
    55,773.88x = 2,577,194,320.16
  5. Step 5: Solve for x
    x = 2,577,194,320.16/55,773.88
  6. Step 6: Final answer
    x = 46,207.91

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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.