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Finding the Fourth Proportional to 47,432, 65,450.49 and 26,208.38

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Solution

The fourth proportional to 47,432, 65,450.49 and 26,208.38 is: 36,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,432 : 65,450.49 = 26,208.38 : x
  2. Step 2: Convert to fraction form
    47,432/65,450.49 = 26,208.38/x
  3. Step 3: Cross multiply
    47,432x = 65,450.49 × 26,208.38
  4. Step 4: Simplify right side
    47,432x = 1,715,351,313.11
  5. Step 5: Solve for x
    x = 1,715,351,313.11/47,432
  6. Step 6: Final answer
    x = 36,164.43

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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.