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Finding the Fourth Proportional to 32,402.36, 48,606.24 and 9,028.64

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Solution

The fourth proportional to 32,402.36, 48,606.24 and 9,028.64 is: 13,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.36 : 48,606.24 = 9,028.64 : x
  2. Step 2: Convert to fraction form
    32,402.36/48,606.24 = 9,028.64/x
  3. Step 3: Cross multiply
    32,402.36x = 48,606.24 × 9,028.64
  4. Step 4: Simplify right side
    32,402.36x = 438,848,242.71
  5. Step 5: Solve for x
    x = 438,848,242.71/32,402.36
  6. Step 6: Final answer
    x = 13,543.71

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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.