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Finding the Fourth Proportional to 108,784.81, 163,173.11 and 29,896.98

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Solution

The fourth proportional to 108,784.81, 163,173.11 and 29,896.98 is: 44,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,784.81 : 163,173.11 = 29,896.98 : x
  2. Step 2: Convert to fraction form
    108,784.81/163,173.11 = 29,896.98/x
  3. Step 3: Cross multiply
    108,784.81x = 163,173.11 × 29,896.98
  4. Step 4: Simplify right side
    108,784.81x = 4,878,383,056.72
  5. Step 5: Solve for x
    x = 4,878,383,056.72/108,784.81
  6. Step 6: Final answer
    x = 44,844.34

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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.