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Finding the Fourth Proportional to 29,971.40, 41,882.20 and 29,971.40

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Solution

The fourth proportional to 29,971.40, 41,882.20 and 29,971.40 is: 41,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.40 : 41,882.20 = 29,971.40 : x
  2. Step 2: Convert to fraction form
    29,971.40/41,882.20 = 29,971.40/x
  3. Step 3: Cross multiply
    29,971.40x = 41,882.20 × 29,971.40
  4. Step 4: Simplify right side
    29,971.40x = 1,255,268,169.08
  5. Step 5: Solve for x
    x = 1,255,268,169.08/29,971.40
  6. Step 6: Final answer
    x = 41,882.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.