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Finding the Fourth Proportional to 76,358.34, 114,414.39 and 41,314.50

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Solution

The fourth proportional to 76,358.34, 114,414.39 and 41,314.50 is: 61,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,358.34 : 114,414.39 = 41,314.50 : x
  2. Step 2: Convert to fraction form
    76,358.34/114,414.39 = 41,314.50/x
  3. Step 3: Cross multiply
    76,358.34x = 114,414.39 × 41,314.50
  4. Step 4: Simplify right side
    76,358.34x = 4,726,973,315.66
  5. Step 5: Solve for x
    x = 4,726,973,315.66/76,358.34
  6. Step 6: Final answer
    x = 61,905.13

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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.