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Finding the Fourth Proportional to 52,472.51, 72,412.09 and 29,811.54

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Solution

The fourth proportional to 52,472.51, 72,412.09 and 29,811.54 is: 41,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,472.51 : 72,412.09 = 29,811.54 : x
  2. Step 2: Convert to fraction form
    52,472.51/72,412.09 = 29,811.54/x
  3. Step 3: Cross multiply
    52,472.51x = 72,412.09 × 29,811.54
  4. Step 4: Simplify right side
    52,472.51x = 2,158,715,850.97
  5. Step 5: Solve for x
    x = 2,158,715,850.97/52,472.51
  6. Step 6: Final answer
    x = 41,139.94

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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.