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Finding the Fourth Proportional to 51,538.69, 71,166.74 and 38,769.74

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Solution

The fourth proportional to 51,538.69, 71,166.74 and 38,769.74 is: 53,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,538.69 : 71,166.74 = 38,769.74 : x
  2. Step 2: Convert to fraction form
    51,538.69/71,166.74 = 38,769.74/x
  3. Step 3: Cross multiply
    51,538.69x = 71,166.74 × 38,769.74
  4. Step 4: Simplify right side
    51,538.69x = 2,759,115,723.64
  5. Step 5: Solve for x
    x = 2,759,115,723.64/51,538.69
  6. Step 6: Final answer
    x = 53,534.84

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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.