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Finding the Fourth Proportional to 31,460.84, 43,406.19 and 17,846.64

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Solution

The fourth proportional to 31,460.84, 43,406.19 and 17,846.64 is: 24,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460.84 : 43,406.19 = 17,846.64 : x
  2. Step 2: Convert to fraction form
    31,460.84/43,406.19 = 17,846.64/x
  3. Step 3: Cross multiply
    31,460.84x = 43,406.19 × 17,846.64
  4. Step 4: Simplify right side
    31,460.84x = 774,654,646.70
  5. Step 5: Solve for x
    x = 774,654,646.70/31,460.84
  6. Step 6: Final answer
    x = 24,622.82

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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.