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Finding the Fourth Proportional to 34,591.40, 47,727.46 and 19,481

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Solution

The fourth proportional to 34,591.40, 47,727.46 and 19,481 is: 26,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,591.40 : 47,727.46 = 19,481 : x
  2. Step 2: Convert to fraction form
    34,591.40/47,727.46 = 19,481/x
  3. Step 3: Cross multiply
    34,591.40x = 47,727.46 × 19,481
  4. Step 4: Simplify right side
    34,591.40x = 929,778,648.26
  5. Step 5: Solve for x
    x = 929,778,648.26/34,591.40
  6. Step 6: Final answer
    x = 26,878.90

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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.