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Finding the Fourth Proportional to 53,857.31, 74,321.96 and 29,658.96

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Solution

The fourth proportional to 53,857.31, 74,321.96 and 29,658.96 is: 40,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857.31 : 74,321.96 = 29,658.96 : x
  2. Step 2: Convert to fraction form
    53,857.31/74,321.96 = 29,658.96/x
  3. Step 3: Cross multiply
    53,857.31x = 74,321.96 × 29,658.96
  4. Step 4: Simplify right side
    53,857.31x = 2,204,311,890.47
  5. Step 5: Solve for x
    x = 2,204,311,890.47/53,857.31
  6. Step 6: Final answer
    x = 40,928.74

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1.5x scale

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.