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Finding the Fourth Proportional to 51,677.60, 71,313.19 and 31,568.13

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Solution

The fourth proportional to 51,677.60, 71,313.19 and 31,568.13 is: 43,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,677.60 : 71,313.19 = 31,568.13 : x
  2. Step 2: Convert to fraction form
    51,677.60/71,313.19 = 31,568.13/x
  3. Step 3: Cross multiply
    51,677.60x = 71,313.19 × 31,568.13
  4. Step 4: Simplify right side
    51,677.60x = 2,251,223,973.71
  5. Step 5: Solve for x
    x = 2,251,223,973.71/51,677.60
  6. Step 6: Final answer
    x = 43,562.86

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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.