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Finding the Fourth Proportional to 110,546.40, 165,664.80 and 59,835.84

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Solution

The fourth proportional to 110,546.40, 165,664.80 and 59,835.84 is: 89,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,546.40 : 165,664.80 = 59,835.84 : x
  2. Step 2: Convert to fraction form
    110,546.40/165,664.80 = 59,835.84/x
  3. Step 3: Cross multiply
    110,546.40x = 165,664.80 × 59,835.84
  4. Step 4: Simplify right side
    110,546.40x = 9,912,692,466.43
  5. Step 5: Solve for x
    x = 9,912,692,466.43/110,546.40
  6. Step 6: Final answer
    x = 89,669.97

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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.