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Finding the Fourth Proportional to 31,319, 43,242.90 and 20,160.44

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Solution

The fourth proportional to 31,319, 43,242.90 and 20,160.44 is: 27,836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,319 : 43,242.90 = 20,160.44 : x
  2. Step 2: Convert to fraction form
    31,319/43,242.90 = 20,160.44/x
  3. Step 3: Cross multiply
    31,319x = 43,242.90 × 20,160.44
  4. Step 4: Simplify right side
    31,319x = 871,795,890.88
  5. Step 5: Solve for x
    x = 871,795,890.88/31,319
  6. Step 6: Final answer
    x = 27,836.01

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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.