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Finding the Fourth Proportional to 77,576.75, 107,049.34 and 43,582.57

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Solution

The fourth proportional to 77,576.75, 107,049.34 and 43,582.57 is: 60,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,576.75 : 107,049.34 = 43,582.57 : x
  2. Step 2: Convert to fraction form
    77,576.75/107,049.34 = 43,582.57/x
  3. Step 3: Cross multiply
    77,576.75x = 107,049.34 × 43,582.57
  4. Step 4: Simplify right side
    77,576.75x = 4,665,485,354.00
  5. Step 5: Solve for x
    x = 4,665,485,354.00/77,576.75
  6. Step 6: Final answer
    x = 60,140.25

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1.5x scale

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.