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Finding the Fourth Proportional to 31,043.80, 46,572.93 and 8,857.48

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Solution

The fourth proportional to 31,043.80, 46,572.93 and 8,857.48 is: 13,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.80 : 46,572.93 = 8,857.48 : x
  2. Step 2: Convert to fraction form
    31,043.80/46,572.93 = 8,857.48/x
  3. Step 3: Cross multiply
    31,043.80x = 46,572.93 × 8,857.48
  4. Step 4: Simplify right side
    31,043.80x = 412,518,796.02
  5. Step 5: Solve for x
    x = 412,518,796.02/31,043.80
  6. Step 6: Final answer
    x = 13,288.28

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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.