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Finding the Fourth Proportional to 31,242.85, 46,843.50 and 17,209.52

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Solution

The fourth proportional to 31,242.85, 46,843.50 and 17,209.52 is: 25,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.85 : 46,843.50 = 17,209.52 : x
  2. Step 2: Convert to fraction form
    31,242.85/46,843.50 = 17,209.52/x
  3. Step 3: Cross multiply
    31,242.85x = 46,843.50 × 17,209.52
  4. Step 4: Simplify right side
    31,242.85x = 806,154,150.12
  5. Step 5: Solve for x
    x = 806,154,150.12/31,242.85
  6. Step 6: Final answer
    x = 25,802.84

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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.