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Finding the Fourth Proportional to 35,840.16, 49,457.12 and 19,924.20

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Solution

The fourth proportional to 35,840.16, 49,457.12 and 19,924.20 is: 27,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840.16 : 49,457.12 = 19,924.20 : x
  2. Step 2: Convert to fraction form
    35,840.16/49,457.12 = 19,924.20/x
  3. Step 3: Cross multiply
    35,840.16x = 49,457.12 × 19,924.20
  4. Step 4: Simplify right side
    35,840.16x = 985,393,450.68
  5. Step 5: Solve for x
    x = 985,393,450.68/35,840.16
  6. Step 6: Final answer
    x = 27,494.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.