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Finding the Fourth Proportional to 32,663.90, 49,014.30 and 13,942.16

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Solution

The fourth proportional to 32,663.90, 49,014.30 and 13,942.16 is: 20,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,663.90 : 49,014.30 = 13,942.16 : x
  2. Step 2: Convert to fraction form
    32,663.90/49,014.30 = 13,942.16/x
  3. Step 3: Cross multiply
    32,663.90x = 49,014.30 × 13,942.16
  4. Step 4: Simplify right side
    32,663.90x = 683,365,212.89
  5. Step 5: Solve for x
    x = 683,365,212.89/32,663.90
  6. Step 6: Final answer
    x = 20,921.12

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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.