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Finding the Fourth Proportional to 32,379.82, 48,570.64 and 9,006.26

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Solution

The fourth proportional to 32,379.82, 48,570.64 and 9,006.26 is: 13,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,379.82 : 48,570.64 = 9,006.26 : x
  2. Step 2: Convert to fraction form
    32,379.82/48,570.64 = 9,006.26/x
  3. Step 3: Cross multiply
    32,379.82x = 48,570.64 × 9,006.26
  4. Step 4: Simplify right side
    32,379.82x = 437,439,546.84
  5. Step 5: Solve for x
    x = 437,439,546.84/32,379.82
  6. Step 6: Final answer
    x = 13,509.64

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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.