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Finding the Fourth Proportional to 31,400.48, 43,314.64 and 19,604

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Solution

The fourth proportional to 31,400.48, 43,314.64 and 19,604 is: 27,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400.48 : 43,314.64 = 19,604 : x
  2. Step 2: Convert to fraction form
    31,400.48/43,314.64 = 19,604/x
  3. Step 3: Cross multiply
    31,400.48x = 43,314.64 × 19,604
  4. Step 4: Simplify right side
    31,400.48x = 849,140,202.56
  5. Step 5: Solve for x
    x = 849,140,202.56/31,400.48
  6. Step 6: Final answer
    x = 27,042.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.