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Finding the Fourth Proportional to 80,710.09, 120,913.16 and 47,331

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Solution

The fourth proportional to 80,710.09, 120,913.16 and 47,331 is: 70,907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,710.09 : 120,913.16 = 47,331 : x
  2. Step 2: Convert to fraction form
    80,710.09/120,913.16 = 47,331/x
  3. Step 3: Cross multiply
    80,710.09x = 120,913.16 × 47,331
  4. Step 4: Simplify right side
    80,710.09x = 5,722,940,539.31
  5. Step 5: Solve for x
    x = 5,722,940,539.31/80,710.09
  6. Step 6: Final answer
    x = 70,907.38

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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.