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Finding the Fourth Proportional to 32,524.72, 48,777.40 and 13,804.40

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Solution

The fourth proportional to 32,524.72, 48,777.40 and 13,804.40 is: 20,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,524.72 : 48,777.40 = 13,804.40 : x
  2. Step 2: Convert to fraction form
    32,524.72/48,777.40 = 13,804.40/x
  3. Step 3: Cross multiply
    32,524.72x = 48,777.40 × 13,804.40
  4. Step 4: Simplify right side
    32,524.72x = 673,342,740.56
  5. Step 5: Solve for x
    x = 673,342,740.56/32,524.72
  6. Step 6: Final answer
    x = 20,702.49

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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.