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Finding the Fourth Proportional to 34,204.38, 47,202.84 and 21,458.10

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Solution

The fourth proportional to 34,204.38, 47,202.84 and 21,458.10 is: 29,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.38 : 47,202.84 = 21,458.10 : x
  2. Step 2: Convert to fraction form
    34,204.38/47,202.84 = 21,458.10/x
  3. Step 3: Cross multiply
    34,204.38x = 47,202.84 × 21,458.10
  4. Step 4: Simplify right side
    34,204.38x = 1,012,883,261.00
  5. Step 5: Solve for x
    x = 1,012,883,261.00/34,204.38
  6. Step 6: Final answer
    x = 29,612.68

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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.