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Finding the Fourth Proportional to 29,832.12, 44,757.06 and 12,303

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Solution

The fourth proportional to 29,832.12, 44,757.06 and 12,303 is: 18,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832.12 : 44,757.06 = 12,303 : x
  2. Step 2: Convert to fraction form
    29,832.12/44,757.06 = 12,303/x
  3. Step 3: Cross multiply
    29,832.12x = 44,757.06 × 12,303
  4. Step 4: Simplify right side
    29,832.12x = 550,646,109.18
  5. Step 5: Solve for x
    x = 550,646,109.18/29,832.12
  6. Step 6: Final answer
    x = 18,458.16

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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.