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Finding the Fourth Proportional to 34,199.30, 47,195.82 and 21,453.02

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Solution

The fourth proportional to 34,199.30, 47,195.82 and 21,453.02 is: 29,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,199.30 : 47,195.82 = 21,453.02 : x
  2. Step 2: Convert to fraction form
    34,199.30/47,195.82 = 21,453.02/x
  3. Step 3: Cross multiply
    34,199.30x = 47,195.82 × 21,453.02
  4. Step 4: Simplify right side
    34,199.30x = 1,012,492,870.38
  5. Step 5: Solve for x
    x = 1,012,492,870.38/34,199.30
  6. Step 6: Final answer
    x = 29,605.66

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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.