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Finding the Fourth Proportional to 32,654.04, 48,951.70 and 11,863

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Solution

The fourth proportional to 32,654.04, 48,951.70 and 11,863 is: 17,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,654.04 : 48,951.70 = 11,863 : x
  2. Step 2: Convert to fraction form
    32,654.04/48,951.70 = 11,863/x
  3. Step 3: Cross multiply
    32,654.04x = 48,951.70 × 11,863
  4. Step 4: Simplify right side
    32,654.04x = 580,714,017.10
  5. Step 5: Solve for x
    x = 580,714,017.10/32,654.04
  6. Step 6: Final answer
    x = 17,783.83

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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.