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Finding the Fourth Proportional to 82,961.70, 114,493.95 and 47,162.94

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Solution

The fourth proportional to 82,961.70, 114,493.95 and 47,162.94 is: 65,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,961.70 : 114,493.95 = 47,162.94 : x
  2. Step 2: Convert to fraction form
    82,961.70/114,493.95 = 47,162.94/x
  3. Step 3: Cross multiply
    82,961.70x = 114,493.95 × 47,162.94
  4. Step 4: Simplify right side
    82,961.70x = 5,399,871,294.21
  5. Step 5: Solve for x
    x = 5,399,871,294.21/82,961.70
  6. Step 6: Final answer
    x = 65,088.73

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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.