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Finding the Fourth Proportional to 76,633.55, 114,961.10 and 26,706.48

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Solution

The fourth proportional to 76,633.55, 114,961.10 and 26,706.48 is: 40,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,633.55 : 114,961.10 = 26,706.48 : x
  2. Step 2: Convert to fraction form
    76,633.55/114,961.10 = 26,706.48/x
  3. Step 3: Cross multiply
    76,633.55x = 114,961.10 × 26,706.48
  4. Step 4: Simplify right side
    76,633.55x = 3,070,205,709.74
  5. Step 5: Solve for x
    x = 3,070,205,709.74/76,633.55
  6. Step 6: Final answer
    x = 40,063.47

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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.