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Finding the Fourth Proportional to 34,295.86, 51,448.56 and 10,605.34

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Solution

The fourth proportional to 34,295.86, 51,448.56 and 10,605.34 is: 15,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,295.86 : 51,448.56 = 10,605.34 : x
  2. Step 2: Convert to fraction form
    34,295.86/51,448.56 = 10,605.34/x
  3. Step 3: Cross multiply
    34,295.86x = 51,448.56 × 10,605.34
  4. Step 4: Simplify right side
    34,295.86x = 545,629,471.31
  5. Step 5: Solve for x
    x = 545,629,471.31/34,295.86
  6. Step 6: Final answer
    x = 15,909.49

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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.