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Finding the Fourth Proportional to 29,765.31, 41,073.14 and 17,828.34

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Solution

The fourth proportional to 29,765.31, 41,073.14 and 17,828.34 is: 24,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.31 : 41,073.14 = 17,828.34 : x
  2. Step 2: Convert to fraction form
    29,765.31/41,073.14 = 17,828.34/x
  3. Step 3: Cross multiply
    29,765.31x = 41,073.14 × 17,828.34
  4. Step 4: Simplify right side
    29,765.31x = 732,265,815.65
  5. Step 5: Solve for x
    x = 732,265,815.65/29,765.31
  6. Step 6: Final answer
    x = 24,601.32

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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.