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Finding the Fourth Proportional to 34,651.34, 51,969.06 and 9,693.16

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Solution

The fourth proportional to 34,651.34, 51,969.06 and 9,693.16 is: 14,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.34 : 51,969.06 = 9,693.16 : x
  2. Step 2: Convert to fraction form
    34,651.34/51,969.06 = 9,693.16/x
  3. Step 3: Cross multiply
    34,651.34x = 51,969.06 × 9,693.16
  4. Step 4: Simplify right side
    34,651.34x = 503,744,153.78
  5. Step 5: Solve for x
    x = 503,744,153.78/34,651.34
  6. Step 6: Final answer
    x = 14,537.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.