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Finding the Fourth Proportional to 31,049.66, 46,551.31 and 9,977.68

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Solution

The fourth proportional to 31,049.66, 46,551.31 and 9,977.68 is: 14,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.66 : 46,551.31 = 9,977.68 : x
  2. Step 2: Convert to fraction form
    31,049.66/46,551.31 = 9,977.68/x
  3. Step 3: Cross multiply
    31,049.66x = 46,551.31 × 9,977.68
  4. Step 4: Simplify right side
    31,049.66x = 464,474,108.01
  5. Step 5: Solve for x
    x = 464,474,108.01/31,049.66
  6. Step 6: Final answer
    x = 14,959.07

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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.