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Finding the Fourth Proportional to 34,205.38, 47,204.22 and 21,459.10

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Solution

The fourth proportional to 34,205.38, 47,204.22 and 21,459.10 is: 29,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.38 : 47,204.22 = 21,459.10 : x
  2. Step 2: Convert to fraction form
    34,205.38/47,204.22 = 21,459.10/x
  3. Step 3: Cross multiply
    34,205.38x = 47,204.22 × 21,459.10
  4. Step 4: Simplify right side
    34,205.38x = 1,012,960,077.40
  5. Step 5: Solve for x
    x = 1,012,960,077.40/34,205.38
  6. Step 6: Final answer
    x = 29,614.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.