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Finding the Fourth Proportional to 110,605.85, 165,892.61 and 54,430.94

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Solution

The fourth proportional to 110,605.85, 165,892.61 and 54,430.94 is: 81,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,605.85 : 165,892.61 = 54,430.94 : x
  2. Step 2: Convert to fraction form
    110,605.85/165,892.61 = 54,430.94/x
  3. Step 3: Cross multiply
    110,605.85x = 165,892.61 × 54,430.94
  4. Step 4: Simplify right side
    110,605.85x = 9,029,690,012.84
  5. Step 5: Solve for x
    x = 9,029,690,012.84/110,605.85
  6. Step 6: Final answer
    x = 81,638.45

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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.