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Finding the Fourth Proportional to 31,330.20, 46,979.74 and 9,980.13

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Solution

The fourth proportional to 31,330.20, 46,979.74 and 9,980.13 is: 14,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,330.20 : 46,979.74 = 9,980.13 : x
  2. Step 2: Convert to fraction form
    31,330.20/46,979.74 = 9,980.13/x
  3. Step 3: Cross multiply
    31,330.20x = 46,979.74 × 9,980.13
  4. Step 4: Simplify right side
    31,330.20x = 468,863,912.57
  5. Step 5: Solve for x
    x = 468,863,912.57/31,330.20
  6. Step 6: Final answer
    x = 14,965.24

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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.