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Finding the Fourth Proportional to 34,231.40, 47,214.06 and 21,644

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Solution

The fourth proportional to 34,231.40, 47,214.06 and 21,644 is: 29,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,231.40 : 47,214.06 = 21,644 : x
  2. Step 2: Convert to fraction form
    34,231.40/47,214.06 = 21,644/x
  3. Step 3: Cross multiply
    34,231.40x = 47,214.06 × 21,644
  4. Step 4: Simplify right side
    34,231.40x = 1,021,901,114.64
  5. Step 5: Solve for x
    x = 1,021,901,114.64/34,231.40
  6. Step 6: Final answer
    x = 29,852.74

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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.