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Finding the Fourth Proportional to 32,237.98, 48,327.80 and 11,456.62

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Solution

The fourth proportional to 32,237.98, 48,327.80 and 11,456.62 is: 17,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,237.98 : 48,327.80 = 11,456.62 : x
  2. Step 2: Convert to fraction form
    32,237.98/48,327.80 = 11,456.62/x
  3. Step 3: Cross multiply
    32,237.98x = 48,327.80 × 11,456.62
  4. Step 4: Simplify right side
    32,237.98x = 553,673,240.04
  5. Step 5: Solve for x
    x = 553,673,240.04/32,237.98
  6. Step 6: Final answer
    x = 17,174.56

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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.