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Finding the Fourth Proportional to 51,712.80, 71,370.21 and 31,565.34

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Solution

The fourth proportional to 51,712.80, 71,370.21 and 31,565.34 is: 43,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,712.80 : 71,370.21 = 31,565.34 : x
  2. Step 2: Convert to fraction form
    51,712.80/71,370.21 = 31,565.34/x
  3. Step 3: Cross multiply
    51,712.80x = 71,370.21 × 31,565.34
  4. Step 4: Simplify right side
    51,712.80x = 2,252,824,944.52
  5. Step 5: Solve for x
    x = 2,252,824,944.52/51,712.80
  6. Step 6: Final answer
    x = 43,564.16

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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.