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Finding the Fourth Proportional to 34,403.64, 47,493.75 and 21,675.30

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Solution

The fourth proportional to 34,403.64, 47,493.75 and 21,675.30 is: 29,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,403.64 : 47,493.75 = 21,675.30 : x
  2. Step 2: Convert to fraction form
    34,403.64/47,493.75 = 21,675.30/x
  3. Step 3: Cross multiply
    34,403.64x = 47,493.75 × 21,675.30
  4. Step 4: Simplify right side
    34,403.64x = 1,029,441,279.38
  5. Step 5: Solve for x
    x = 1,029,441,279.38/34,403.64
  6. Step 6: Final answer
    x = 29,922.45

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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.