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Finding the Fourth Proportional to 43,676, 65,189.92 and 37,646.24

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Solution

The fourth proportional to 43,676, 65,189.92 and 37,646.24 is: 56,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,676 : 65,189.92 = 37,646.24 : x
  2. Step 2: Convert to fraction form
    43,676/65,189.92 = 37,646.24/x
  3. Step 3: Cross multiply
    43,676x = 65,189.92 × 37,646.24
  4. Step 4: Simplify right side
    43,676x = 2,454,155,373.90
  5. Step 5: Solve for x
    x = 2,454,155,373.90/43,676
  6. Step 6: Final answer
    x = 56,190.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.