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Finding the Fourth Proportional to 110,534.94, 165,703.89 and 51,338.34

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Solution

The fourth proportional to 110,534.94, 165,703.89 and 51,338.34 is: 76,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,534.94 : 165,703.89 = 51,338.34 : x
  2. Step 2: Convert to fraction form
    110,534.94/165,703.89 = 51,338.34/x
  3. Step 3: Cross multiply
    110,534.94x = 165,703.89 × 51,338.34
  4. Step 4: Simplify right side
    110,534.94x = 8,506,962,644.14
  5. Step 5: Solve for x
    x = 8,506,962,644.14/110,534.94
  6. Step 6: Final answer
    x = 76,961.75

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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.