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Finding the Fourth Proportional to 32,485.42, 48,729.57 and 9,111.34

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Solution

The fourth proportional to 32,485.42, 48,729.57 and 9,111.34 is: 13,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,485.42 : 48,729.57 = 9,111.34 : x
  2. Step 2: Convert to fraction form
    32,485.42/48,729.57 = 9,111.34/x
  3. Step 3: Cross multiply
    32,485.42x = 48,729.57 × 9,111.34
  4. Step 4: Simplify right side
    32,485.42x = 443,991,680.32
  5. Step 5: Solve for x
    x = 443,991,680.32/32,485.42
  6. Step 6: Final answer
    x = 13,667.41

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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.