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Finding the Fourth Proportional to 29,617.83, 40,846.14 and 24,574.06

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Solution

The fourth proportional to 29,617.83, 40,846.14 and 24,574.06 is: 33,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,617.83 : 40,846.14 = 24,574.06 : x
  2. Step 2: Convert to fraction form
    29,617.83/40,846.14 = 24,574.06/x
  3. Step 3: Cross multiply
    29,617.83x = 40,846.14 × 24,574.06
  4. Step 4: Simplify right side
    29,617.83x = 1,003,755,546.19
  5. Step 5: Solve for x
    x = 1,003,755,546.19/29,617.83
  6. Step 6: Final answer
    x = 33,890.25

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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.