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Finding the Fourth Proportional to 76,474, 105,538.80 and 42,940

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Solution

The fourth proportional to 76,474, 105,538.80 and 42,940 is: 59,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,474 : 105,538.80 = 42,940 : x
  2. Step 2: Convert to fraction form
    76,474/105,538.80 = 42,940/x
  3. Step 3: Cross multiply
    76,474x = 105,538.80 × 42,940
  4. Step 4: Simplify right side
    76,474x = 4,531,836,072
  5. Step 5: Solve for x
    x = 4,531,836,072/76,474
  6. Step 6: Final answer
    x = 59,259.83

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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.