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Finding the Fourth Proportional to 32,443.42, 48,662.70 and 9,071.68

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Solution

The fourth proportional to 32,443.42, 48,662.70 and 9,071.68 is: 13,606.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,443.42 : 48,662.70 = 9,071.68 : x
  2. Step 2: Convert to fraction form
    32,443.42/48,662.70 = 9,071.68/x
  3. Step 3: Cross multiply
    32,443.42x = 48,662.70 × 9,071.68
  4. Step 4: Simplify right side
    32,443.42x = 441,452,442.34
  5. Step 5: Solve for x
    x = 441,452,442.34/32,443.42
  6. Step 6: Final answer
    x = 13,606.84

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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.