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Finding the Fourth Proportional to 43,722.28, 65,484.54 and 35,848.84

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Solution

The fourth proportional to 43,722.28, 65,484.54 and 35,848.84 is: 53,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,722.28 : 65,484.54 = 35,848.84 : x
  2. Step 2: Convert to fraction form
    43,722.28/65,484.54 = 35,848.84/x
  3. Step 3: Cross multiply
    43,722.28x = 65,484.54 × 35,848.84
  4. Step 4: Simplify right side
    43,722.28x = 2,347,544,796.93
  5. Step 5: Solve for x
    x = 2,347,544,796.93/43,722.28
  6. Step 6: Final answer
    x = 53,692.19

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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.