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Finding the Fourth Proportional to 32,466.89, 48,663.41 and 13,735.23

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Solution

The fourth proportional to 32,466.89, 48,663.41 and 13,735.23 is: 20,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.89 : 48,663.41 = 13,735.23 : x
  2. Step 2: Convert to fraction form
    32,466.89/48,663.41 = 13,735.23/x
  3. Step 3: Cross multiply
    32,466.89x = 48,663.41 × 13,735.23
  4. Step 4: Simplify right side
    32,466.89x = 668,403,128.93
  5. Step 5: Solve for x
    x = 668,403,128.93/32,466.89
  6. Step 6: Final answer
    x = 20,587.23

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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.