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Finding the Fourth Proportional to 43,076.97, 64,615.46 and 19,687

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Solution

The fourth proportional to 43,076.97, 64,615.46 and 19,687 is: 29,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,076.97 : 64,615.46 = 19,687 : x
  2. Step 2: Convert to fraction form
    43,076.97/64,615.46 = 19,687/x
  3. Step 3: Cross multiply
    43,076.97x = 64,615.46 × 19,687
  4. Step 4: Simplify right side
    43,076.97x = 1,272,084,561.02
  5. Step 5: Solve for x
    x = 1,272,084,561.02/43,076.97
  6. Step 6: Final answer
    x = 29,530.50

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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.