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Finding the Fourth Proportional to 64,164.88, 96,261.88 and 29,114.56

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Solution

The fourth proportional to 64,164.88, 96,261.88 and 29,114.56 is: 43,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,164.88 : 96,261.88 = 29,114.56 : x
  2. Step 2: Convert to fraction form
    64,164.88/96,261.88 = 29,114.56/x
  3. Step 3: Cross multiply
    64,164.88x = 96,261.88 × 29,114.56
  4. Step 4: Simplify right side
    64,164.88x = 2,802,622,280.97
  5. Step 5: Solve for x
    x = 2,802,622,280.97/64,164.88
  6. Step 6: Final answer
    x = 43,678.45

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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.