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Finding the Fourth Proportional to 31,043.55, 46,572.56 and 8,857.23

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Solution

The fourth proportional to 31,043.55, 46,572.56 and 8,857.23 is: 13,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.55 : 46,572.56 = 8,857.23 : x
  2. Step 2: Convert to fraction form
    31,043.55/46,572.56 = 8,857.23/x
  3. Step 3: Cross multiply
    31,043.55x = 46,572.56 × 8,857.23
  4. Step 4: Simplify right side
    31,043.55x = 412,503,831.32
  5. Step 5: Solve for x
    x = 412,503,831.32/31,043.55
  6. Step 6: Final answer
    x = 13,287.91

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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.