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Finding the Fourth Proportional to 29,238, 40,354.92 and 20,176.08

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Solution

The fourth proportional to 29,238, 40,354.92 and 20,176.08 is: 27,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238 : 40,354.92 = 20,176.08 : x
  2. Step 2: Convert to fraction form
    29,238/40,354.92 = 20,176.08/x
  3. Step 3: Cross multiply
    29,238x = 40,354.92 × 20,176.08
  4. Step 4: Simplify right side
    29,238x = 814,204,094.31
  5. Step 5: Solve for x
    x = 814,204,094.31/29,238
  6. Step 6: Final answer
    x = 27,847.46

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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.