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Finding the Fourth Proportional to 47,654.26, 65,719.81 and 29,750.92

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Solution

The fourth proportional to 47,654.26, 65,719.81 and 29,750.92 is: 41,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,654.26 : 65,719.81 = 29,750.92 : x
  2. Step 2: Convert to fraction form
    47,654.26/65,719.81 = 29,750.92/x
  3. Step 3: Cross multiply
    47,654.26x = 65,719.81 × 29,750.92
  4. Step 4: Simplify right side
    47,654.26x = 1,955,224,809.73
  5. Step 5: Solve for x
    x = 1,955,224,809.73/47,654.26
  6. Step 6: Final answer
    x = 41,029.38

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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.