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Finding the Fourth Proportional to 34,495.96, 51,707.10 and 19,672.96

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Solution

The fourth proportional to 34,495.96, 51,707.10 and 19,672.96 is: 29,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,495.96 : 51,707.10 = 19,672.96 : x
  2. Step 2: Convert to fraction form
    34,495.96/51,707.10 = 19,672.96/x
  3. Step 3: Cross multiply
    34,495.96x = 51,707.10 × 19,672.96
  4. Step 4: Simplify right side
    34,495.96x = 1,017,231,710.02
  5. Step 5: Solve for x
    x = 1,017,231,710.02/34,495.96
  6. Step 6: Final answer
    x = 29,488.43

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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.