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Finding the Fourth Proportional to 34,285.68, 47,321.82 and 21,708

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Solution

The fourth proportional to 34,285.68, 47,321.82 and 21,708 is: 29,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,285.68 : 47,321.82 = 21,708 : x
  2. Step 2: Convert to fraction form
    34,285.68/47,321.82 = 21,708/x
  3. Step 3: Cross multiply
    34,285.68x = 47,321.82 × 21,708
  4. Step 4: Simplify right side
    34,285.68x = 1,027,262,068.56
  5. Step 5: Solve for x
    x = 1,027,262,068.56/34,285.68
  6. Step 6: Final answer
    x = 29,961.84

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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.