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Finding the Fourth Proportional to 31,161.20, 46,752.60 and 13,643.60

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Solution

The fourth proportional to 31,161.20, 46,752.60 and 13,643.60 is: 20,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,161.20 : 46,752.60 = 13,643.60 : x
  2. Step 2: Convert to fraction form
    31,161.20/46,752.60 = 13,643.60/x
  3. Step 3: Cross multiply
    31,161.20x = 46,752.60 × 13,643.60
  4. Step 4: Simplify right side
    31,161.20x = 637,873,773.36
  5. Step 5: Solve for x
    x = 637,873,773.36/31,161.20
  6. Step 6: Final answer
    x = 20,470.13

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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.