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Finding the Fourth Proportional to 108,703.38, 163,047.78 and 29,811

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Solution

The fourth proportional to 108,703.38, 163,047.78 and 29,811 is: 44,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,703.38 : 163,047.78 = 29,811 : x
  2. Step 2: Convert to fraction form
    108,703.38/163,047.78 = 29,811/x
  3. Step 3: Cross multiply
    108,703.38x = 163,047.78 × 29,811
  4. Step 4: Simplify right side
    108,703.38x = 4,860,617,369.58
  5. Step 5: Solve for x
    x = 4,860,617,369.58/108,703.38
  6. Step 6: Final answer
    x = 44,714.50

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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.