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Finding the Fourth Proportional to 52,097, 71,903.58 and 29,741

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Solution

The fourth proportional to 52,097, 71,903.58 and 29,741 is: 41,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097 : 71,903.58 = 29,741 : x
  2. Step 2: Convert to fraction form
    52,097/71,903.58 = 29,741/x
  3. Step 3: Cross multiply
    52,097x = 71,903.58 × 29,741
  4. Step 4: Simplify right side
    52,097x = 2,138,484,372.78
  5. Step 5: Solve for x
    x = 2,138,484,372.78/52,097
  6. Step 6: Final answer
    x = 41,048.13

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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.