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Finding the Fourth Proportional to 76,712.40, 115,067.52 and 21,308.40

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Solution

The fourth proportional to 76,712.40, 115,067.52 and 21,308.40 is: 31,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,712.40 : 115,067.52 = 21,308.40 : x
  2. Step 2: Convert to fraction form
    76,712.40/115,067.52 = 21,308.40/x
  3. Step 3: Cross multiply
    76,712.40x = 115,067.52 × 21,308.40
  4. Step 4: Simplify right side
    76,712.40x = 2,451,904,743.17
  5. Step 5: Solve for x
    x = 2,451,904,743.17/76,712.40
  6. Step 6: Final answer
    x = 31,962.30

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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.