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Finding the Fourth Proportional to 32,305.50, 48,477.69 and 13,837.50

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Solution

The fourth proportional to 32,305.50, 48,477.69 and 13,837.50 is: 20,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,305.50 : 48,477.69 = 13,837.50 : x
  2. Step 2: Convert to fraction form
    32,305.50/48,477.69 = 13,837.50/x
  3. Step 3: Cross multiply
    32,305.50x = 48,477.69 × 13,837.50
  4. Step 4: Simplify right side
    32,305.50x = 670,810,035.38
  5. Step 5: Solve for x
    x = 670,810,035.38/32,305.50
  6. Step 6: Final answer
    x = 20,764.58

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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.