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Finding the Fourth Proportional to 82,764.38, 114,205.54 and 48,770.66

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Solution

The fourth proportional to 82,764.38, 114,205.54 and 48,770.66 is: 67,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,764.38 : 114,205.54 = 48,770.66 : x
  2. Step 2: Convert to fraction form
    82,764.38/114,205.54 = 48,770.66/x
  3. Step 3: Cross multiply
    82,764.38x = 114,205.54 × 48,770.66
  4. Step 4: Simplify right side
    82,764.38x = 5,569,879,561.46
  5. Step 5: Solve for x
    x = 5,569,879,561.46/82,764.38
  6. Step 6: Final answer
    x = 67,298.03

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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.