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Finding the Fourth Proportional to 110,633.42, 165,898.28 and 40,463.66

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Solution

The fourth proportional to 110,633.42, 165,898.28 and 40,463.66 is: 60,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,633.42 : 165,898.28 = 40,463.66 : x
  2. Step 2: Convert to fraction form
    110,633.42/165,898.28 = 40,463.66/x
  3. Step 3: Cross multiply
    110,633.42x = 165,898.28 × 40,463.66
  4. Step 4: Simplify right side
    110,633.42x = 6,712,851,596.50
  5. Step 5: Solve for x
    x = 6,712,851,596.50/110,633.42
  6. Step 6: Final answer
    x = 60,676.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.