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Finding the Fourth Proportional to 32,190.72, 48,290.49 and 9,999.96

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Solution

The fourth proportional to 32,190.72, 48,290.49 and 9,999.96 is: 15,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190.72 : 48,290.49 = 9,999.96 : x
  2. Step 2: Convert to fraction form
    32,190.72/48,290.49 = 9,999.96/x
  3. Step 3: Cross multiply
    32,190.72x = 48,290.49 × 9,999.96
  4. Step 4: Simplify right side
    32,190.72x = 482,902,968.38
  5. Step 5: Solve for x
    x = 482,902,968.38/32,190.72
  6. Step 6: Final answer
    x = 15,001.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.