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Finding the Fourth Proportional to 76,414.66, 114,606.80 and 38,453.81

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Solution

The fourth proportional to 76,414.66, 114,606.80 and 38,453.81 is: 57,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,414.66 : 114,606.80 = 38,453.81 : x
  2. Step 2: Convert to fraction form
    76,414.66/114,606.80 = 38,453.81/x
  3. Step 3: Cross multiply
    76,414.66x = 114,606.80 × 38,453.81
  4. Step 4: Simplify right side
    76,414.66x = 4,407,067,490.81
  5. Step 5: Solve for x
    x = 4,407,067,490.81/76,414.66
  6. Step 6: Final answer
    x = 57,673.06

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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.