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Finding the Fourth Proportional to 31,209.57, 46,809.75 and 11,483.54

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Solution

The fourth proportional to 31,209.57, 46,809.75 and 11,483.54 is: 17,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.57 : 46,809.75 = 11,483.54 : x
  2. Step 2: Convert to fraction form
    31,209.57/46,809.75 = 11,483.54/x
  3. Step 3: Cross multiply
    31,209.57x = 46,809.75 × 11,483.54
  4. Step 4: Simplify right side
    31,209.57x = 537,541,636.52
  5. Step 5: Solve for x
    x = 537,541,636.52/31,209.57
  6. Step 6: Final answer
    x = 17,223.62

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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.