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Finding the Fourth Proportional to 29,765.99, 41,078.42 and 17,829.07

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Solution

The fourth proportional to 29,765.99, 41,078.42 and 17,829.07 is: 24,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.99 : 41,078.42 = 17,829.07 : x
  2. Step 2: Convert to fraction form
    29,765.99/41,078.42 = 17,829.07/x
  3. Step 3: Cross multiply
    29,765.99x = 41,078.42 × 17,829.07
  4. Step 4: Simplify right side
    29,765.99x = 732,389,966.08
  5. Step 5: Solve for x
    x = 732,389,966.08/29,765.99
  6. Step 6: Final answer
    x = 24,604.93

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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.