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Finding the Fourth Proportional to 43,686, 65,529.03 and 10,854

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Solution

The fourth proportional to 43,686, 65,529.03 and 10,854 is: 16,281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,686 : 65,529.03 = 10,854 : x
  2. Step 2: Convert to fraction form
    43,686/65,529.03 = 10,854/x
  3. Step 3: Cross multiply
    43,686x = 65,529.03 × 10,854
  4. Step 4: Simplify right side
    43,686x = 711,252,091.62
  5. Step 5: Solve for x
    x = 711,252,091.62/43,686
  6. Step 6: Final answer
    x = 16,281.01

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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.