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Finding the Fourth Proportional to 76,299, 114,448.48 and 23,708.52

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Solution

The fourth proportional to 76,299, 114,448.48 and 23,708.52 is: 35,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,299 : 114,448.48 = 23,708.52 : x
  2. Step 2: Convert to fraction form
    76,299/114,448.48 = 23,708.52/x
  3. Step 3: Cross multiply
    76,299x = 114,448.48 × 23,708.52
  4. Step 4: Simplify right side
    76,299x = 2,713,404,077.05
  5. Step 5: Solve for x
    x = 2,713,404,077.05/76,299
  6. Step 6: Final answer
    x = 35,562.77

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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.