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Finding the Fourth Proportional to 31,007.40, 46,511.10 and 9,947.40

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Solution

The fourth proportional to 31,007.40, 46,511.10 and 9,947.40 is: 14,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.40 : 46,511.10 = 9,947.40 : x
  2. Step 2: Convert to fraction form
    31,007.40/46,511.10 = 9,947.40/x
  3. Step 3: Cross multiply
    31,007.40x = 46,511.10 × 9,947.40
  4. Step 4: Simplify right side
    31,007.40x = 462,664,516.14
  5. Step 5: Solve for x
    x = 462,664,516.14/31,007.40
  6. Step 6: Final answer
    x = 14,921.10

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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.