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Finding the Fourth Proportional to 47,242.96, 70,847.84 and 13,954.16

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Solution

The fourth proportional to 47,242.96, 70,847.84 and 13,954.16 is: 20,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,242.96 : 70,847.84 = 13,954.16 : x
  2. Step 2: Convert to fraction form
    47,242.96/70,847.84 = 13,954.16/x
  3. Step 3: Cross multiply
    47,242.96x = 70,847.84 × 13,954.16
  4. Step 4: Simplify right side
    47,242.96x = 988,622,095.01
  5. Step 5: Solve for x
    x = 988,622,095.01/47,242.96
  6. Step 6: Final answer
    x = 20,926.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.