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Finding the Fourth Proportional to 82,127.64, 113,353.74 and 51,893.76

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Solution

The fourth proportional to 82,127.64, 113,353.74 and 51,893.76 is: 71,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,127.64 : 113,353.74 = 51,893.76 : x
  2. Step 2: Convert to fraction form
    82,127.64/113,353.74 = 51,893.76/x
  3. Step 3: Cross multiply
    82,127.64x = 113,353.74 × 51,893.76
  4. Step 4: Simplify right side
    82,127.64x = 5,882,351,778.66
  5. Step 5: Solve for x
    x = 5,882,351,778.66/82,127.64
  6. Step 6: Final answer
    x = 71,624.51

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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.