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Finding the Fourth Proportional to 34,410.68, 47,494.32 and 21,833

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Solution

The fourth proportional to 34,410.68, 47,494.32 and 21,833 is: 30,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,410.68 : 47,494.32 = 21,833 : x
  2. Step 2: Convert to fraction form
    34,410.68/47,494.32 = 21,833/x
  3. Step 3: Cross multiply
    34,410.68x = 47,494.32 × 21,833
  4. Step 4: Simplify right side
    34,410.68x = 1,036,943,488.56
  5. Step 5: Solve for x
    x = 1,036,943,488.56/34,410.68
  6. Step 6: Final answer
    x = 30,134.35

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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.