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Finding the Fourth Proportional to 53,209.46, 73,429.54 and 29,337

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Solution

The fourth proportional to 53,209.46, 73,429.54 and 29,337 is: 40,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,209.46 : 73,429.54 = 29,337 : x
  2. Step 2: Convert to fraction form
    53,209.46/73,429.54 = 29,337/x
  3. Step 3: Cross multiply
    53,209.46x = 73,429.54 × 29,337
  4. Step 4: Simplify right side
    53,209.46x = 2,154,202,414.98
  5. Step 5: Solve for x
    x = 2,154,202,414.98/53,209.46
  6. Step 6: Final answer
    x = 40,485.33

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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.