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Finding the Fourth Proportional to 34,205.46, 47,204.31 and 21,459.16

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Solution

The fourth proportional to 34,205.46, 47,204.31 and 21,459.16 is: 29,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.46 : 47,204.31 = 21,459.16 : x
  2. Step 2: Convert to fraction form
    34,205.46/47,204.31 = 21,459.16/x
  3. Step 3: Cross multiply
    34,205.46x = 47,204.31 × 21,459.16
  4. Step 4: Simplify right side
    34,205.46x = 1,012,964,840.98
  5. Step 5: Solve for x
    x = 1,012,964,840.98/34,205.46
  6. Step 6: Final answer
    x = 29,614.13

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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.