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Finding the Fourth Proportional to 51,769.51, 71,265.62 and 38,315.41

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Solution

The fourth proportional to 51,769.51, 71,265.62 and 38,315.41 is: 52,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,769.51 : 71,265.62 = 38,315.41 : x
  2. Step 2: Convert to fraction form
    51,769.51/71,265.62 = 38,315.41/x
  3. Step 3: Cross multiply
    51,769.51x = 71,265.62 × 38,315.41
  4. Step 4: Simplify right side
    51,769.51x = 2,730,570,901.30
  5. Step 5: Solve for x
    x = 2,730,570,901.30/51,769.51
  6. Step 6: Final answer
    x = 52,744.78

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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.