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Finding the Fourth Proportional to 110,586.66, 165,874.51 and 40,460.50

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Solution

The fourth proportional to 110,586.66, 165,874.51 and 40,460.50 is: 60,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,586.66 : 165,874.51 = 40,460.50 : x
  2. Step 2: Convert to fraction form
    110,586.66/165,874.51 = 40,460.50/x
  3. Step 3: Cross multiply
    110,586.66x = 165,874.51 × 40,460.50
  4. Step 4: Simplify right side
    110,586.66x = 6,711,365,611.86
  5. Step 5: Solve for x
    x = 6,711,365,611.86/110,586.66
  6. Step 6: Final answer
    x = 60,688.75

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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.