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Finding the Fourth Proportional to 54,829.52, 75,664.72 and 29,679

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Solution

The fourth proportional to 54,829.52, 75,664.72 and 29,679 is: 40,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,829.52 : 75,664.72 = 29,679 : x
  2. Step 2: Convert to fraction form
    54,829.52/75,664.72 = 29,679/x
  3. Step 3: Cross multiply
    54,829.52x = 75,664.72 × 29,679
  4. Step 4: Simplify right side
    54,829.52x = 2,245,653,224.88
  5. Step 5: Solve for x
    x = 2,245,653,224.88/54,829.52
  6. Step 6: Final answer
    x = 40,957.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.