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Finding the Fourth Proportional to 47,469.60, 65,477.17 and 30,446.87

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Solution

The fourth proportional to 47,469.60, 65,477.17 and 30,446.87 is: 41,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469.60 : 65,477.17 = 30,446.87 : x
  2. Step 2: Convert to fraction form
    47,469.60/65,477.17 = 30,446.87/x
  3. Step 3: Cross multiply
    47,469.60x = 65,477.17 × 30,446.87
  4. Step 4: Simplify right side
    47,469.60x = 1,993,574,403.34
  5. Step 5: Solve for x
    x = 1,993,574,403.34/47,469.60
  6. Step 6: Final answer
    x = 41,996.87

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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.