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Finding the Fourth Proportional to 82,348.84, 123,523.26 and 47,298.52

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Solution

The fourth proportional to 82,348.84, 123,523.26 and 47,298.52 is: 70,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,348.84 : 123,523.26 = 47,298.52 : x
  2. Step 2: Convert to fraction form
    82,348.84/123,523.26 = 47,298.52/x
  3. Step 3: Cross multiply
    82,348.84x = 123,523.26 × 47,298.52
  4. Step 4: Simplify right side
    82,348.84x = 5,842,467,383.58
  5. Step 5: Solve for x
    x = 5,842,467,383.58/82,348.84
  6. Step 6: Final answer
    x = 70,947.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.