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Finding the Fourth Proportional to 32,580.72, 48,847.16 and 10,381.32

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Solution

The fourth proportional to 32,580.72, 48,847.16 and 10,381.32 is: 15,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580.72 : 48,847.16 = 10,381.32 : x
  2. Step 2: Convert to fraction form
    32,580.72/48,847.16 = 10,381.32/x
  3. Step 3: Cross multiply
    32,580.72x = 48,847.16 × 10,381.32
  4. Step 4: Simplify right side
    32,580.72x = 507,097,999.05
  5. Step 5: Solve for x
    x = 507,097,999.05/32,580.72
  6. Step 6: Final answer
    x = 15,564.36

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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.