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Finding the Fourth Proportional to 31,846.49, 47,769.85 and 9,660.06

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Solution

The fourth proportional to 31,846.49, 47,769.85 and 9,660.06 is: 14,490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.49 : 47,769.85 = 9,660.06 : x
  2. Step 2: Convert to fraction form
    31,846.49/47,769.85 = 9,660.06/x
  3. Step 3: Cross multiply
    31,846.49x = 47,769.85 × 9,660.06
  4. Step 4: Simplify right side
    31,846.49x = 461,459,617.19
  5. Step 5: Solve for x
    x = 461,459,617.19/31,846.49
  6. Step 6: Final answer
    x = 14,490.12

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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.